Papers On Group Theory

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Papers on Group Theory and Topology

Author : Max Dehn
Publisher : Springer Science & Business Media
ISBN 13 : 1461246687
Total Pages : 404 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Papers on Group Theory and Topology by : Max Dehn

Download or read book Papers on Group Theory and Topology written by Max Dehn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work of Max Dehn (1878-1952) has been quietly influential in mathematics since the beginning of the 20th century. In 1900 he became the first to solve one of the famous Hilbert problems (the third, on the decomposition of polyhedra), in 1907 he collaborated with Heegaard to produce the first survey of topology, and in 1910 he began publishing his own investigations in topology and combinatorial group theory. His influence is apparent in the terms Dehn's algorithm, Dehn's lemma and Dehn surgery (and Dehnsche Gruppenbilder, generally known in English as Cayley diagrams), but direct access to his work has been difficult. No edition of his works has been produced, and some of his most important results were never published, at least not by him. The present volume is a modest attempt to bring Dehn's work to a wider audience, particularly topologists and group theorists curious about the origins of their subject and interested in mining the sources for new ideas. It consists of English translations of eight works : five of Dehn's major papers in topology and combinatorial group theory, and three unpublished works which illuminate the published papers and contain some results not available elsewhere. In addition, I have written a short introduction to each work, summarising its contents and trying to establish its place among related works of Dehn and others, and I have added an appendix on the Dehn-Nielsen theorem (often known simply as Nielsen's theorem) .

Group Theory

Author : Karl W. Gruenberg
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Group Theory by : Karl W. Gruenberg

Download or read book Group Theory written by Karl W. Gruenberg and published by . This book was released on 1984 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume celebrates the major impact on modern group theory made by Philip Hall. The survey articles were commissioned to provide reasonably self-contained, up-to-date and forward-looking accounts of finite and infinite group theory. Mathematicians working on group theory and ring theory will find this volume interesting and useful, and the material is accessible to students specializing in algebra. This book was prepared for Philip Hall's 80th birthday, but is now published after his death as a tribute to his genius. FROM THE PREFACE: This book was to have been an eightieth birthday present for Philip Hall. In the summer of 1980 the Council of the London Mathematical Society asked us to edit a volume to mark Hall's 80th birthday on the eleventh of April 1984. We decided to produce a book in two parts: the first to consist of commissioned survey articles and the second of submitted research papers. Because we intended to invite research articles by advertisement, we had to tell Hall something of our plans; this we did at a pub lunch outside Cambridge in May 1981. At the same time we asked him if he would agree to take part in a birthday celebration in his honour which had been proposed by the Society. Characteristically he said that he would prefer no public festivity; but he liked the idea of a book, especially the surveys. Our idea was that each survey would give a reasonably self-contained, up-to-date and forward-looking account of an area in which Hall had made important contributions. In view of Hall's considerable impact on modern group theory, we hoped that the essays would together form a fairly coherent picture of the subject. So as to avoid too much overlap, we suggested to each author the area we should like him to cover, but only in broad terms; the choice of material within the suggested area was left entirely to him. It was inevitable, perhaps, that gaps would remain. When Hall died on 30th December 1982, we felt that the second half of the planned book was no longer appropriate, but that the essays should still be published. We offer them here not as a memorial volume, since they were largely written while Philip Hall was alive and well, but as a tribute to his genius.

Visual Group Theory

Author : Nathan Carter
Publisher : American Mathematical Soc.
ISBN 13 : 1470464330
Total Pages : 295 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Visual Group Theory by : Nathan Carter

Download or read book Visual Group Theory written by Nathan Carter and published by American Mathematical Soc.. This book was released on 2021-06-08 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.

Applications of Group Theory in Physics and Mathematical Physics

Author : Mosh Flato
Publisher : American Mathematical Soc.
ISBN 13 : 9780821896860
Total Pages : 436 pages
Book Rating : 4.8/5 (968 download)

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Book Synopsis Applications of Group Theory in Physics and Mathematical Physics by : Mosh Flato

Download or read book Applications of Group Theory in Physics and Mathematical Physics written by Mosh Flato and published by American Mathematical Soc.. This book was released on 1985-12-31 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past decade has seen a renewal in the close ties between mathematics and physics. The Chicago Summer Seminar on Applications of Group Theory in Physics and Mathematical Physics, held in July, 1982, was organized to bring together a broad spectrum of scientists from theoretical physics, mathematical physics, and various branches of pure and applied mathematics in order to promote interaction and an exchange of ideas and results in areas of common interest. This volume contains the papers submitted by speakers at the Seminar. The reader will find several groups of articles varying from the most abstract aspects of mathematics to a concrete phenomenological description of some models applicable to particle physics. The papers have been divided into four categories corresponding to the principal topics covered at the Seminar. This is only a rough division, and some papers overlap two or more of these categories.

Contributions to Group Theory

Author : Kenneth I. Appel
Publisher : American Mathematical Soc.
ISBN 13 : 0821850350
Total Pages : 534 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Contributions to Group Theory by : Kenneth I. Appel

Download or read book Contributions to Group Theory written by Kenneth I. Appel and published by American Mathematical Soc.. This book was released on 1984 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains five short articles about Roger Lyndon and his contributions to mathematics, as well as twenty-seven invited research papers in combinatorial group theory and closely related areas. Several of the articles featured in this work fall into subfields of combinatorial group theory, areas in which much of the initial work was done by Lyndon.

Finite Group Theory

Author : I. Martin Isaacs
Publisher : American Mathematical Society
ISBN 13 : 1470471604
Total Pages : 368 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Finite Group Theory by : I. Martin Isaacs

Download or read book Finite Group Theory written by I. Martin Isaacs and published by American Mathematical Society. This book was released on 2023-01-24 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text begins with a review of group actions and Sylow theory. It includes semidirect products, the Schur–Zassenhaus theorem, the theory of commutators, coprime actions on groups, transfer theory, Frobenius groups, primitive and multiply transitive permutation groups, the simplicity of the PSL groups, the generalized Fitting subgroup and also Thompson's J-subgroup and his normal $p$-complement theorem. Topics that seldom (or never) appear in books are also covered. These include subnormality theory, a group-theoretic proof of Burnside's theorem about groups with order divisible by just two primes, the Wielandt automorphism tower theorem, Yoshida's transfer theorem, the “principal ideal theorem” of transfer theory and many smaller results that are not very well known. Proofs often contain original ideas, and they are given in complete detail. In many cases they are simpler than can be found elsewhere. The book is largely based on the author's lectures, and consequently, the style is friendly and somewhat informal. Finally, the book includes a large collection of problems at disparate levels of difficulty. These should enable students to practice group theory and not just read about it. Martin Isaacs is professor of mathematics at the University of Wisconsin, Madison. Over the years, he has received many teaching awards and is well known for his inspiring teaching and lecturing. He received the University of Wisconsin Distinguished Teaching Award in 1985, the Benjamin Smith Reynolds Teaching Award in 1989, and the Wisconsin Section MAA Teaching Award in 1993, to name only a few. He was also honored by being the selected MAA Pólya Lecturer in 2003–2005.

Problems in Group Theory

Author : John D. Dixon
Publisher : Courier Corporation
ISBN 13 : 0486459160
Total Pages : 194 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Problems in Group Theory by : John D. Dixon

Download or read book Problems in Group Theory written by John D. Dixon and published by Courier Corporation. This book was released on 2007-01-01 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: 265 challenging problems in all phases of group theory, gathered for the most part from papers published since 1950, although some classics are included.

The Genesis of the Abstract Group Concept

Author : Hans Wussing
Publisher : Courier Corporation
ISBN 13 : 0486458687
Total Pages : 338 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis The Genesis of the Abstract Group Concept by : Hans Wussing

Download or read book The Genesis of the Abstract Group Concept written by Hans Wussing and published by Courier Corporation. This book was released on 2007-01-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: "It is a pleasure to turn to Wussing's book, a sound presentation of history," declared the Bulletin of the American Mathematical Society. The author, Director of the Institute for the History of Medicine and Science at Leipzig University, traces the axiomatic formulation of the abstract notion of group. 1984 edition.

Combinatorial Group Theory and Topology

Author : S. M. Gersten
Publisher : Princeton University Press
ISBN 13 : 9780691084107
Total Pages : 568 pages
Book Rating : 4.0/5 (841 download)

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Book Synopsis Combinatorial Group Theory and Topology by : S. M. Gersten

Download or read book Combinatorial Group Theory and Topology written by S. M. Gersten and published by Princeton University Press. This book was released on 1987-05-21 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group theory and topology are closely related. The region of their interaction, combining the logical clarity of algebra with the depths of geometric intuition, is the subject of Combinatorial Group Theory and Topology. The work includes papers from a conference held in July 1984 at Alta Lodge, Utah. Contributors to the book include Roger Alperin, Hyman Bass, Max Benson, Joan S. Birman, Andrew J. Casson, Marshall Cohen, Donald J. Collins, Robert Craggs, Michael Dyer, Beno Eckmann, Stephen M. Gersten, Jane Gilman, Robert H. Gilman, Narain D. Gupta, John Hempel, James Howie, Roger Lyndon, Martin Lustig, Lee P. Neuwirth, Andrew J. Nicas, N. Patterson, John G. Ratcliffe, Frank Rimlinger, Caroline Series, John R. Stallings, C. W. Stark, and A. Royce Wolf.

Group Theory in a Nutshell for Physicists

Author : A. Zee
Publisher : Princeton University Press
ISBN 13 : 1400881188
Total Pages : 632 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Group Theory in a Nutshell for Physicists by : A. Zee

Download or read book Group Theory in a Nutshell for Physicists written by A. Zee and published by Princeton University Press. This book was released on 2016-03-29 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise, modern textbook on group theory written especially for physicists Although group theory is a mathematical subject, it is indispensable to many areas of modern theoretical physics, from atomic physics to condensed matter physics, particle physics to string theory. In particular, it is essential for an understanding of the fundamental forces. Yet until now, what has been missing is a modern, accessible, and self-contained textbook on the subject written especially for physicists. Group Theory in a Nutshell for Physicists fills this gap, providing a user-friendly and classroom-tested text that focuses on those aspects of group theory physicists most need to know. From the basic intuitive notion of a group, A. Zee takes readers all the way up to how theories based on gauge groups could unify three of the four fundamental forces. He also includes a concise review of the linear algebra needed for group theory, making the book ideal for self-study. Provides physicists with a modern and accessible introduction to group theory Covers applications to various areas of physics, including field theory, particle physics, relativity, and much more Topics include finite group and character tables; real, pseudoreal, and complex representations; Weyl, Dirac, and Majorana equations; the expanding universe and group theory; grand unification; and much more The essential textbook for students and an invaluable resource for researchers Features a brief, self-contained treatment of linear algebra An online illustration package is available to professors Solutions manual (available only to professors)

A Book of Abstract Algebra

Author : Charles C Pinter
Publisher : Courier Corporation
ISBN 13 : 0486474178
Total Pages : 402 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis A Book of Abstract Algebra by : Charles C Pinter

Download or read book A Book of Abstract Algebra written by Charles C Pinter and published by Courier Corporation. This book was released on 2010-01-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.

Infinite Group Theory: From The Past To The Future

Author : Paul Baginski
Publisher : World Scientific
ISBN 13 : 9813204060
Total Pages : 258 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Infinite Group Theory: From The Past To The Future by : Paul Baginski

Download or read book Infinite Group Theory: From The Past To The Future written by Paul Baginski and published by World Scientific. This book was released on 2017-12-26 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of algebraic geometry over groups, geometric group theory and group-based cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presents a good collection of papers detailing areas of current interest.

Complexity and Randomness in Group Theory

Author : Frédérique Bassino
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110667029
Total Pages : 386 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Complexity and Randomness in Group Theory by : Frédérique Bassino

Download or read book Complexity and Randomness in Group Theory written by Frédérique Bassino and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-06-08 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows new directions in group theory motivated by computer science. It reflects the transition from geometric group theory to group theory of the 21st century that has strong connections to computer science. Now that geometric group theory is drifting further and further away from group theory to geometry, it is natural to look for new tools and new directions in group theory which are present.

Group Theory

Author : W. R. Scott
Publisher : Courier Corporation
ISBN 13 : 0486140164
Total Pages : 516 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Group Theory by : W. R. Scott

Download or read book Group Theory written by W. R. Scott and published by Courier Corporation. This book was released on 2012-05-23 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is clear, well-organized coverage of the most standard theorems, including isomorphism theorems, transformations and subgroups, direct sums, abelian groups, and more. This undergraduate-level text features more than 500 exercises.

Group Theory and Computation

Author : N.S. Narasimha Sastry
Publisher : Springer
ISBN 13 : 9811320470
Total Pages : 213 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Group Theory and Computation by : N.S. Narasimha Sastry

Download or read book Group Theory and Computation written by N.S. Narasimha Sastry and published by Springer. This book was released on 2018-09-21 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a blend of recent developments in theoretical and computational aspects of group theory. It presents the state-of-the-art research topics in different aspects of group theory, namely, character theory, representation theory, integral group rings, the Monster simple group, computational algorithms and methods on finite groups, finite loops, periodic groups, Camina groups and generalizations, automorphisms and non-abelian tensor product of groups. Presenting a collection of invited articles by some of the leading and highly active researchers in the theory of finite groups and their representations and the Monster group, with a focus on computational aspects, this book is of particular interest to researchers in the area of group theory and related fields of mathematics.

A First Course in Group Theory

Author : Bijan Davvaz
Publisher : Springer Nature
ISBN 13 : 9811663653
Total Pages : 300 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis A First Course in Group Theory by : Bijan Davvaz

Download or read book A First Course in Group Theory written by Bijan Davvaz and published by Springer Nature. This book was released on 2021-11-10 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. Topics on important examples of groups (like cyclic groups, permutation groups, group of arithmetical functions, matrix groups and linear groups), Lagrange’s theorem, normal subgroups, factor groups, derived subgroup, homomorphism, isomorphism and automorphism of groups have been discussed in depth. Covering all major topics, this book is targeted to undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader.

Groups, Modules, and Model Theory - Surveys and Recent Developments

Author : Manfred Droste
Publisher : Springer
ISBN 13 : 331951718X
Total Pages : 493 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Groups, Modules, and Model Theory - Surveys and Recent Developments by : Manfred Droste

Download or read book Groups, Modules, and Model Theory - Surveys and Recent Developments written by Manfred Droste and published by Springer. This book was released on 2017-06-02 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on group theory and model theory with a particular emphasis on the interplay of the two areas. The survey papers provide an overview of the developments across group, module, and model theory while the research papers present the most recent study in those same areas. With introductory sections that make the topics easily accessible to students, the papers in this volume will appeal to beginning graduate students and experienced researchers alike. As a whole, this book offers a cross-section view of the areas in group, module, and model theory, covering topics such as DP-minimal groups, Abelian groups, countable 1-transitive trees, and module approximations. The papers in this book are the proceedings of the conference “New Pathways between Group Theory and Model Theory,” which took place February 1-4, 2016, in Mülheim an der Ruhr, Germany, in honor of the editors’ colleague Rüdiger Göbel. This publication is dedicated to Professor Göbel, who passed away in 2014. He was one of the leading experts in Abelian group theory.