Group Theory

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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.

Essays in Group Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461395860
Total Pages : 346 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Essays in Group Theory by : S.M. Gersten

Download or read book Essays in Group Theory written by S.M. Gersten and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essays in Group Theory contains five papers on topics of current interest which were presented in a seminar at MSRI, Berkeley in June, 1985. Special mention should be given to Gromov`s paper, one of the most significant in the field in the last decade. It develops the theory of hyperbolic groups to include a version of small cancellation theory sufficiently powerful to recover deep results of Ol'shanskii and Rips. Each of the remaining papers, by Baumslag and Shalen, Gersten, Shalen, and Stallings contains gems. For example, the reader will delight in Stallings' explicit construction of free actions of orientable surface groups on R-trees. Gersten's paper lays the foundations for a theory of equations over groups and contains a very quick solution to conjugacy problem for a class of hyperbolic groups. Shalen's article reviews the rapidly expanding theory of group actions on R-trees and the Baumslag-Shalen article uses modular representation theory to establish properties of presentations whose relators are pth-powers.

Group Theory in the Bedroom, and Other Mathematical Diversions

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Publisher : Macmillan + ORM
ISBN 13 : 1429938579
Total Pages : 284 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Group Theory in the Bedroom, and Other Mathematical Diversions by : Brian Hayes

Download or read book Group Theory in the Bedroom, and Other Mathematical Diversions written by Brian Hayes and published by Macmillan + ORM. This book was released on 2008-04-01 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Award-Winning Essayist Plies His Craft Brian Hayes is one of the most accomplished essayists active today—a claim supported not only by his prolific and continuing high-quality output but also by such honors as the National Magazine Award for his commemorative Y2K essay titled "Clock of Ages," published in the November/December 1999 issue of The Sciences magazine. (The also-rans that year included Tom Wolfe, Verlyn Klinkenborg, and Oliver Sacks.) Hayes's work in this genre has also appeared in such anthologies as The BestAmerican Magazine Writing, The Best American Science and NatureWriting, and The Norton Reader. Here he offers us a selection of his most memorable and accessible pieces—including "Clock of Ages"—embellishing them with an overall, scene-setting preface, reconfigured illustrations, and a refreshingly self-critical "Afterthoughts" section appended to each essay.

Essays in Group Theory

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Publisher :
ISBN 13 : 9781461395874
Total Pages : 356 pages
Book Rating : 4.3/5 (958 download)

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Book Synopsis Essays in Group Theory by : S. M. Gersten

Download or read book Essays in Group Theory written by S. M. Gersten and published by . This book was released on 1987-10-19 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Essays in the History of Lie Groups and Algebraic Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821802887
Total Pages : 184 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Essays in the History of Lie Groups and Algebraic Groups by : Armand Borel

Download or read book Essays in the History of Lie Groups and Algebraic Groups written by Armand Borel and published by American Mathematical Soc.. This book was released on 2001 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic groups and Lie groups are important in most major areas of mathematics, occuring in diverse roles such as the symmetries of differential equations and as central figures in the Langlands program for number theory. In this book, Professor Borel looks at the development of the theory of Lie groups and algebraic groups, highlighting the evolution from the almost purely local theory at the start to the global theory that we know today. As the starting point of this passagefrom local to global, the author takes Lie's theory of local analytic transformation groups and Lie algebras. He then follows the globalization of the process in its two most important frameworks: (transcendental) differential geometry and algebraic geometry. Chapters II to IV are devoted to the former,Chapters V to VIII, to the latter.The essays in the first part of the book survey various proofs of the full reducibility of linear representations of $SL 2M$, the contributions H. Weyl to representation and invariant theory for Lie groups, and conclude with a chapter on E. Cartan's theory of symmetric spaces and Lie groups in the large.The second part of the book starts with Chapter V describing the development of the theory of linear algebraic groups in the 19th century. Many of the main contributions here are due to E. Study, E. Cartan, and above all, to L. Maurer. After being abandoned for nearly 50 years, the theory was revived by Chevalley and Kolchin and then further developed by many others. This is the focus of Chapter VI. The book concludes with two chapters on various aspects of the works of Chevalley on Lie groupsand algebraic groups and Kolchin on algebraic groups and the Galois theory of differential fields.The author brings a unique perspective to this study. As an important developer of some of the modern elements of both the differential geometric and the algebraic geometric sides of the theory, he has a particularly deep appreciation of the underlying mathematics. His lifelong involvement and his historical research in the subject give him a special appreciation of the story of its development.

Explorations in Group Work: Essays in Theory and Practice

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Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Explorations in Group Work: Essays in Theory and Practice by : Louise A. Frey

Download or read book Explorations in Group Work: Essays in Theory and Practice written by Louise A. Frey and published by . This book was released on 1973 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Emergence of the Theory of Lie Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 1461212022
Total Pages : 578 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Emergence of the Theory of Lie Groups by : Thomas Hawkins

Download or read book Emergence of the Theory of Lie Groups written by Thomas Hawkins and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: The great Norwegian mathematician Sophus Lie developed the general theory of transformations in the 1870s, and the first part of the book properly focuses on his work. In the second part the central figure is Wilhelm Killing, who developed structure and classification of semisimple Lie algebras. The third part focuses on the developments of the representation of Lie algebras, in particular the work of Elie Cartan. The book concludes with the work of Hermann Weyl and his contemporaries on the structure and representation of Lie groups which serves to bring together much of the earlier work into a coherent theory while at the same time opening up significant avenues for further work.

Essays on Geometric Group Theory

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ISBN 13 : 9781571461940
Total Pages : 159 pages
Book Rating : 4.4/5 (619 download)

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Book Synopsis Essays on Geometric Group Theory by : N. S. Narasimha Sastry

Download or read book Essays on Geometric Group Theory written by N. S. Narasimha Sastry and published by . This book was released on 2010 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt:

When Groups Meet

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Publisher : Psychology Press
ISBN 13 : 1136794298
Total Pages : 354 pages
Book Rating : 4.1/5 (367 download)

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Book Synopsis When Groups Meet by : Thomas F. Pettigrew

Download or read book When Groups Meet written by Thomas F. Pettigrew and published by Psychology Press. This book was released on 2013-06-17 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research and theory on intergroup contact have become one of the fastest advancing and most exciting fields in social psychology in recent years. The work is exciting because it combines basic social psychological concerns -- human interaction, situational influences on behavior -- with an effective means of improving intergroup relations at a time when the world is witnessing widespread intergroup hatred and strife. This volume provides an overview of this rapidly progressing area of investigation – its origins and early work, its current status and recent developments, along with criticisms of this work and suggestions for future directions. It covers a range of research findings involving contact between groups drawn from the authors’ extensive meta-analysis of 515 published studies on intergroup contact. This meta-analysis, together with the authors’ renowned research on intergroup contact, provides a solid foundation and broad overview of the field, to which have been added discussions of research extensions and emerging directions. When Groups Meet is a rich, comprehensive overview of classic and contemporary work on intergroup contact, and provides insights into where this work is headed in the future. For research specialists, this volume not only serves as a sourcebook for research and theory on intergroup contact, it also provides the entire 515-item bibliography from the meta-analysis. The clear structure and accessible writing style will also appeal to advanced undergraduate and graduate students in psychology and other social sciences.

Explorations in Group Work

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ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.:/5 (431 download)

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Book Synopsis Explorations in Group Work by :

Download or read book Explorations in Group Work written by and published by . This book was released on 1969 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric and Cohomological Methods in Group Theory

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Publisher : Cambridge University Press
ISBN 13 : 052175724X
Total Pages : 331 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Geometric and Cohomological Methods in Group Theory by : Martin R. Bridson

Download or read book Geometric and Cohomological Methods in Group Theory written by Martin R. Bridson and published by Cambridge University Press. This book was released on 2009-10-29 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extended tour through a selection of the most important trends in modern geometric group theory.

Essays in Geometric Group Theory

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ISBN 13 : 9788190254595
Total Pages : 159 pages
Book Rating : 4.2/5 (545 download)

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Book Synopsis Essays in Geometric Group Theory by : N. S. Narasimha Sastry

Download or read book Essays in Geometric Group Theory written by N. S. Narasimha Sastry and published by . This book was released on 2009 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Essays in Commutative Harmonic Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 1461299764
Total Pages : 483 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Essays in Commutative Harmonic Analysis by : C. C. Graham

Download or read book Essays in Commutative Harmonic Analysis written by C. C. Graham and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers various spaces and algebras made up of functions, measures, and other objects-situated always on one or another locally compact abelian group, and studied in the light of the Fourier transform. The emphasis is on the objects themselves, and on the structure-in-detail of the spaces and algebras. A mathematician needs to know only a little about Fourier analysis on the commutative groups, and then may go many ways within the large subject of harmonic analysis-into the beautiful theory of Lie group representations, for example. But this book represents the tendency to linger on the line, and the other abelian groups, and to keep asking questions about the structures thereupon. That tendency, pursued since the early days of analysis, has defined a field of study that can boast of some impressive results, and in which there still remain unanswered questions of compelling interest. We were influenced early in our careers by the mathematicians Jean-Pierre Kahane, Yitzhak Katznelson, Paul Malliavin, Yves Meyer, Joseph Taylor, and Nicholas Varopoulos. They are among the many who have made the field a productive meeting ground of probabilistic methods, number theory, diophantine approximation, and functional analysis. Since the academic year 1967-1968, when we were visitors in Paris and Orsay, the field has continued to see interesting developments. Let us name a few. Sam Drury and Nicholas Varopoulos solved the union problem for Helson sets, by proving a remarkable theorem (2.1.3) which has surely not seen its last use.

Algorithms and Classification in Combinatorial Group Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461397308
Total Pages : 235 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Algorithms and Classification in Combinatorial Group Theory by : Gilbert Baumslag

Download or read book Algorithms and Classification in Combinatorial Group Theory written by Gilbert Baumslag and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume are the result of a workshop held in January 1989 at the Mathematical Sciences Research Institute. Topics covered include decision problems, finitely presented simple groups, combinatorial geometry and homology, and automatic groups and related topics.

Complexity and Randomness in Group Theory

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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.

Combinatorial and Geometric Group Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3764399112
Total Pages : 318 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Combinatorial and Geometric Group Theory by : Oleg Bogopolski

Download or read book Combinatorial and Geometric Group Theory written by Oleg Bogopolski and published by Springer Science & Business Media. This book was released on 2011-01-28 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume assembles several research papers in all areas of geometric and combinatorial group theory originated in the recent conferences in Dortmund and Ottawa in 2007. It contains high quality refereed articles developing new aspects of these modern and active fields in mathematics. It is also appropriate to advanced students interested in recent results at a research level.

The Clash of Group Interests

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Publisher : Ludwig von Mises Institute
ISBN 13 : 1610165128
Total Pages : 74 pages
Book Rating : 4.6/5 (11 download)

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Book Synopsis The Clash of Group Interests by : Ludwig Von Mises

Download or read book The Clash of Group Interests written by Ludwig Von Mises and published by Ludwig von Mises Institute. This book was released on 1945 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: