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Author : William Burnside
Publisher :
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.F/5 ( download)
Download or read book Theory of Groups of Finite Order written by William Burnside and published by . This book was released on 1897 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. L. Mennicke
Publisher : Springer
ISBN 13 : 3540381201
Total Pages : 279 pages
Book Rating : 4.5/5 (43 download)
Download or read book Burnside Groups written by J. L. Mennicke and published by Springer. This book was released on 2006-11-15 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Vaughan-Lee
Publisher : Oxford University Press on Demand
ISBN 13 : 9780198537861
Total Pages : 256 pages
Book Rating : 4.5/5 (378 download)
Download or read book The Restricted Burnside Problem written by Michael Vaughan-Lee and published by Oxford University Press on Demand. This book was released on 1993 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book provided an account of the restricted Burnside problem making extensive use of Lie ring techniques to provide a uniform treatment of the field. It also included Kostrikin's theorem for groups of prime exponent. The second edition, as well as providing general updating, contains a new chapter on E.I. Zelmanov's highly acclaimed and recent solution to the Restricted Burnside Problem for arbitrary prime-power exponent. This material is currently only available in papers in Russian journals. This proof ofZelmanov's theorem given in the new edition is self contained, and (unlike Zelmanov's original proof) does not rely on the theory of Jordan algebras.
Author : Paul Baginski
Publisher : World Scientific
ISBN 13 : 9813204060
Total Pages : 258 pages
Book Rating : 4.8/5 (132 download)
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.
Author : S. I. Adi︠a︡n
Publisher : Springer
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.:/5 (321 download)
Download or read book The Burnside Problem and Identities in Groups written by S. I. Adi︠a︡n and published by Springer. This book was released on 1979 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on a special course that the author delivered to the Faculty of Mechanics and Mathematics at Moscow University in the academic years 1971/72 and 1972/73. It presents a new and improved version of the method of investigating groups with an identical relation of the form [lowercase italic]x[lowercase italic superscript]n = 1 evolved by P. S. Novikov and the author for solving Burnside's problem on periodic groups, first published in a joint paper. In the interval since the Russian edition was published, the method described has found new applications.
Author : Victor E Hill
Publisher : CRC Press
ISBN 13 : 9781584880387
Total Pages : 264 pages
Book Rating : 4.8/5 (83 download)
Download or read book Groups and Characters written by Victor E Hill and published by CRC Press. This book was released on 1999-11-22 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group representation theory is both elegant and practical, with important applications to quantum mechanics, spectroscopy, crystallography, and other fields in the physical sciences. Until now, however, there have been virtually no accessible treatments of group theory that include representations and characters. The classic works in the field require a high level of mathematical sophistication, and other texts omit representations and characters. Groups and Characters offers an easy-to-follow introduction to the theory of groups and of group characters. Designed as a rapid survey of the subject, this unique text emphasizes examples and applications of the theorems, and avoids many of the longer and more difficult proofs. The author presents group theory through the Sylow Theorems and includes the full subgroup structure of A5. Representations and characters are worked out with numerous character tables, along with real and induced characters that lead to the table for S5. The text includes specific sections that provide the mathematical basis for some of the important applications of group theory in spectroscopy and molecular structure. It also offers numerous exercises-some stressing computation of concrete examples, others stressing development of the mathematical theory. Groups and Characters provides the ideal grounding for more advanced studies with the classic texts, and for more broad-based work in abstract algebra. Furthermore, physical scientists-whose experience with groups and characters may not be rigorous-will find Groups and Characters the ideal means for gaining a sense of the mathematics lying behind the techniques used in applications.
Author : J. L. Mennicke
Publisher :
ISBN 13 : 9783662179499
Total Pages : 284 pages
Book Rating : 4.1/5 (794 download)
Download or read book Burnside Groups written by J. L. Mennicke and published by . This book was released on 2014-01-15 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marshall Hall Jr.
Publisher :
ISBN 13 : 9781258410780
Total Pages : 444 pages
Book Rating : 4.4/5 (17 download)
Download or read book The Theory of Groups written by Marshall Hall Jr. and published by . This book was released on 2012-06-01 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Y. Bahturin
Publisher : Springer Science & Business Media
ISBN 13 : 1461302358
Total Pages : 240 pages
Book Rating : 4.4/5 (613 download)
Download or read book Groups, Rings, Lie and Hopf Algebras written by Y. Bahturin and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is almost entirely composed of the research and expository papers by the participants of the International Workshop "Groups, Rings, Lie and Hopf Algebras", which was held at the Memorial University of Newfoundland, St. John's, NF, Canada. All four areas from the title of the workshop are covered. In addition, some chapters touch upon the topics, which belong to two or more areas at the same time. Audience: The readership targeted includes researchers, graduate and senior undergraduate students in mathematics and its applications.
Author : William Burnside
Publisher :
ISBN 13 : 9780198505860
Total Pages : 818 pages
Book Rating : 4.5/5 (58 download)
Download or read book The Collected Papers of William Burnside: Commentary on Burnside's life and work ; Papers 1883-1899 written by William Burnside and published by . This book was released on 2004 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: William Burnside was one of the three most important algebraists who were involved in the transformation of group theory from its nineteenth-century origins to a deep twentieth-century subject. Building on work of earlier mathematicians, they were able to develop sophisticated tools for solving difficult problems. All of Burnside's papers are reproduced here, organized chronologically and with a detailed bibliography. Walter Feit has contributed a foreword, and a collection of introductory essays are included to provide a commentary on Burnside's work and set it in perspective along with a modern biography that draws on archive material.
Author : S. I. Adian
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (471 download)
Download or read book The Burnside problem and identities in groups written by S. I. Adian and published by . This book was released on 1979 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jens L. Mennicke
Publisher : Springer
ISBN 13 :
Total Pages : 294 pages
Book Rating : 4.:/5 (318 download)
Download or read book Burnside Groups written by Jens L. Mennicke and published by Springer. This book was released on 1980 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : serge Bouc
Publisher : Springer
ISBN 13 : 3642112978
Total Pages : 303 pages
Book Rating : 4.6/5 (421 download)
Download or read book Biset Functors for Finite Groups written by serge Bouc and published by Springer. This book was released on 2010-03-10 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume exposes the theory of biset functors for finite groups, which yields a unified framework for operations of induction, restriction, inflation, deflation and transport by isomorphism. The first part recalls the basics on biset categories and biset functors. The second part is concerned with the Burnside functor and the functor of complex characters, together with semisimplicity issues and an overview of Green biset functors. The last part is devoted to biset functors defined over p-groups for a fixed prime number p. This includes the structure of the functor of rational representations and rational p-biset functors. The last two chapters expose three applications of biset functors to long-standing open problems, in particular the structure of the Dade group of an arbitrary finite p-group.This book is intended both to students and researchers, as it gives a didactic exposition of the basics and a rewriting of advanced results in the area, with some new ideas and proofs.
Author : Tullio Ceccherini-Silberstein
Publisher : Springer Nature
ISBN 13 : 3030881091
Total Pages : 468 pages
Book Rating : 4.0/5 (38 download)
Download or read book Topics in Groups and Geometry written by Tullio Ceccherini-Silberstein and published by Springer Nature. This book was released on 2022-01-01 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed exposition of a wide range of topics in geometric group theory, inspired by Gromov’s pivotal work in the 1980s. It includes classical theorems on nilpotent groups and solvable groups, a fundamental study of the growth of groups, a detailed look at asymptotic cones, and a discussion of related subjects including filters and ultrafilters, dimension theory, hyperbolic geometry, amenability, the Burnside problem, and random walks on groups. The results are unified under the common theme of Gromov’s theorem, namely that finitely generated groups of polynomial growth are virtually nilpotent. This beautiful result gave birth to a fascinating new area of research which is still active today. The purpose of the book is to collect these naturally related results together in one place, most of which are scattered throughout the literature, some of them appearing here in book form for the first time. In this way, the connections between these topics are revealed, providing a pleasant introduction to geometric group theory based on ideas surrounding Gromov's theorem. The book will be of interest to mature undergraduate and graduate students in mathematics who are familiar with basic group theory and topology, and who wish to learn more about geometric, analytic, and probabilistic aspects of infinite groups.
Author : Sean Cleary
Publisher : American Mathematical Soc.
ISBN 13 : 0821828223
Total Pages : 290 pages
Book Rating : 4.8/5 (218 download)
Download or read book Combinatorial and Geometric Group Theory written by Sean Cleary and published by American Mathematical Soc.. This book was released on 2002 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume grew out of two AMS conferences held at Columbia University (New York, NY) and the Stevens Institute of Technology (Hoboken, NJ) and presents articles on a wide variety of topics in group theory. Readers will find a variety of contributions, including a collection of over 170 open problems in combinatorial group theory, three excellent survey papers (on boundaries of hyperbolic groups, on fixed points of free group automorphisms, and on groups of automorphisms of compactRiemann surfaces), and several original research papers that represent the diversity of current trends in combinatorial and geometric group theory. The book is an excellent reference source for graduate students and research mathematicians interested in various aspects of group theory.
Author : Moges Mekonnen Shalla
Publisher : Infinite Study
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4./5 ( download)
Download or read book Neutrosophic Extended Triplet Group Action and Burnside’s Lemma written by Moges Mekonnen Shalla and published by Infinite Study. This book was released on with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this article is mainly to discuss the neutrosophic extended triplet (NET) group actions and Burnside’s lemma of NET group. We introduce NET orbits, stabilizers, conjugates and NET group action. Then, we give and proof the Orbit stabilizer formula for NET group by utilizing the notion of NET set theory. Moreover, some results related to NET group action, and Burnside’s lemma are obtained.
Author : A.Yu. Ol'shanskii
Publisher : Springer Science & Business Media
ISBN 13 : 9401136181
Total Pages : 530 pages
Book Rating : 4.4/5 (11 download)
Download or read book Geometry of Defining Relations in Groups written by A.Yu. Ol'shanskii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Ht moi - ..., si favait su comment en reveniT, One service mathematics hal rendered the je n'y serais point aile.' human race. It has put C.
