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Author : D. I. Deriziotis
Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.3/5 (91 download)
Download or read book Conjugacy Classes and Centralizers of Semisimple Elements in Finite Groups of Lie Type written by D. I. Deriziotis and published by . This book was released on 1984 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roger W. Carter
Publisher :
ISBN 13 :
Total Pages : 570 pages
Book Rating : 4.3/5 (91 download)
Download or read book Finite Groups of Lie Type written by Roger W. Carter and published by . This book was released on 1993-08-24 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite groups of Lie type are of basic importance in the theory of groups. A classic in its field, this book presents the theories of finite groups of Lie type in a clear and accessible style, especially with regard to the main concepts of the theory and the techniques of proof used, and gives a detailed exposition of the complex representation theory.
Author : James E. Humphreys
Publisher : American Mathematical Soc.
ISBN 13 : 0821852760
Total Pages : 218 pages
Book Rating : 4.8/5 (218 download)
Download or read book Conjugacy Classes in Semisimple Algebraic Groups written by James E. Humphreys and published by American Mathematical Soc.. This book was released on 1995 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a useful exposition of results on the structure of semisimple algebraic groups over an arbitrary algebraically closed field. After the fundamental work of Borel and Chevalley in the 1950s and 1960s, further results were obtained over the next thirty years on conjugacy classes and centralizers of elements of such groups.
Author : François Digne
Publisher : Cambridge University Press
ISBN 13 : 1108481485
Total Pages : 267 pages
Book Rating : 4.1/5 (84 download)
Download or read book Representations of Finite Groups of Lie Type written by François Digne and published by Cambridge University Press. This book was released on 2020-03-05 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date and self-contained introduction based on a graduate course taught at the University of Paris.
Author : Gunter Malle
Publisher : Cambridge University Press
ISBN 13 : 113949953X
Total Pages : 324 pages
Book Rating : 4.1/5 (394 download)
Download or read book Linear Algebraic Groups and Finite Groups of Lie Type written by Gunter Malle and published by Cambridge University Press. This book was released on 2011-09-08 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisimple groups. The second chapter introduces more specialized topics in the subgroup structure of semisimple groups and describes the classification of the maximal subgroups of the simple algebraic groups. The authors then systematically develop the subgroup structure of finite groups of Lie type as a consequence of the structural results on algebraic groups. This approach will help students to understand the relationship between these two classes of groups. The book covers many topics that are central to the subject, but missing from existing textbooks. The authors provide numerous instructive exercises and examples for those who are learning the subject as well as more advanced topics for research students working in related areas.
Author : Zvi Arad
Publisher : American Mathematical Soc.
ISBN 13 : 0821837117
Total Pages : 294 pages
Book Rating : 4.8/5 (218 download)
Download or read book Ischia Group Theory 2004 written by Zvi Arad and published by American Mathematical Soc.. This book was released on 2006 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experts in the theory of finite groups and in representation theory provide insight into various aspects of group theory, such as the classification of finite simple groups, character theory, groups with special properties, table algebras, etc. Information for our distributors include: This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).
Author : B. Hartley
Publisher : Springer Science & Business Media
ISBN 13 : 9401103291
Total Pages : 469 pages
Book Rating : 4.4/5 (11 download)
Download or read book Finite and Locally Finite Groups written by B. Hartley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the NATO Advanced Study Institute on Finite and Locally Finite Groups held in Istanbul, Turkey, 14-27 August 1994, at which there were about 90 participants from some 16 different countries. The ASI received generous financial support from the Scientific Affairs Division of NATO. INTRODUCTION A locally finite group is a group in which every finite set of elements is contained in a finite subgroup. The study of locally finite groups began with Schur's result that a periodic linear group is, in fact, locally finite. The simple locally finite groups are of particular interest. In view of the classification of the finite simple groups and advances in representation theory, it is natural to pursue classification theorems for simple locally finite groups. This was one of the central themes of the Istanbul conference and significant progress is reported herein. The theory of simple locally finite groups intersects many areas of group theory and representation theory, so this served as a focus for several articles in the volume. Every simple locally finite group has what is known as a Kegel cover. This is a collection of pairs {(G , Ni) liE I}, where I is an index set, each group Gi is finite, i Ni
Author : Meinolf Geck
Publisher : Cambridge University Press
ISBN 13 : 1108489621
Total Pages : 405 pages
Book Rating : 4.1/5 (84 download)
Download or read book The Character Theory of Finite Groups of Lie Type written by Meinolf Geck and published by Cambridge University Press. This book was released on 2020-02-27 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to the vast literature and range of results around Lusztig's character theory of finite groups of Lie type.
Author : Daniel Gorenstein
Publisher : American Mathematical Soc.
ISBN 13 : 9780821803912
Total Pages : 446 pages
Book Rating : 4.8/5 (39 download)
Download or read book The Classification of the Finite Simple Groups, Number 3 written by Daniel Gorenstein and published by American Mathematical Soc.. This book was released on 1994 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines the internal structure of the finite simple groups of Lie type, the finite alternating groups, and 26 sporadic finite simple groups, as well as their analogues. Emphasis is on the structure of local subgroups and their relationships with one another, rather than development of an abstract theory of simple groups. A foundation is laid for the development of specific properties of K-groups to be used in the inductive proof of the classification theorem. Highlights include statements and proofs of the Breol-Tits and Curtis-Tits theorems, and material on centralizers of semisimple involutions in groups of Lie type. For graduate students and research mathematicians. Annotation copyrighted by Book News, Inc., Portland, OR
Author : C. M. Campbell
Publisher : Cambridge University Press
ISBN 13 : 0521694698
Total Pages : 463 pages
Book Rating : 4.5/5 (216 download)
Download or read book Groups St Andrews 2005: Volume 1 written by C. M. Campbell and published by Cambridge University Press. This book was released on 2007-01-04 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected papers from 'Groups St Andrews 2005' cover a wide spectrum of modern group theory.
Author : Nick Gill
Publisher : Springer Nature
ISBN 13 : 3030959562
Total Pages : 221 pages
Book Rating : 4.0/5 (39 download)
Download or read book Cherlin’s Conjecture for Finite Primitive Binary Permutation Groups written by Nick Gill and published by Springer Nature. This book was released on 2022-06-17 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a proof of Cherlin’s conjecture for finite binary primitive permutation groups. Motivated by the part of model theory concerned with Lachlan’s theory of finite homogeneous relational structures, this conjecture proposes a classification of those finite primitive permutation groups that have relational complexity equal to 2. The first part gives a full introduction to Cherlin’s conjecture, including all the key ideas that have been used in the literature to prove some of its special cases. The second part completes the proof by dealing with primitive permutation groups that are almost simple with socle a group of Lie type. A great deal of material concerning properties of primitive permutation groups and almost simple groups is included, and new ideas are introduced. Addressing a hot topic which cuts across the disciplines of group theory, model theory and logic, this book will be of interest to a wide range of readers. It will be particularly useful for graduate students and researchers who need to work with simple groups of Lie type.
Author : Ross Lawther
Publisher : American Mathematical Soc.
ISBN 13 : 0821847694
Total Pages : 201 pages
Book Rating : 4.8/5 (218 download)
Download or read book Centres of Centralizers of Unipotent Elements in Simple Algebraic Groups written by Ross Lawther and published by American Mathematical Soc.. This book was released on 2011 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let G be a simple algebraic group defined over an algebraically closed field k whose characteristic is either 0 or a good prime for G, and let uEG be unipotent. The authors study the centralizer CG(u), especially its centre Z(CG(u)). They calculate the Lie algebra of Z(CG(u)), in particular determining its dimension; they prove a succession of theorems of increasing generality, the last of which provides a formula for dim Z(CG(u)) in terms of the labelled diagram associated to the conjugacy class containing u.
Author : Martin W. Liebeck
Publisher : American Mathematical Soc.
ISBN 13 : 0821824945
Total Pages : 161 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Maximal Factorizations of the Finite Simple Groups and Their Automorphism Groups written by Martin W. Liebeck and published by American Mathematical Soc.. This book was released on 1990 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main result describes completely the maximal factorizations of all the finite simple groups and their automorphism groups. As a consequence, a classification of the maximal subgroups of the finite alternating and symmetric groups is obtained.
Author : Michler
Publisher : Birkhäuser
ISBN 13 : 3034886586
Total Pages : 526 pages
Book Rating : 4.0/5 (348 download)
Download or read book Representation Theory of Finite Groups and Finite-Dimensional Algebras written by Michler and published by Birkhäuser. This book was released on 2012-12-06 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: From April 1, 1984 until March 31, 1991 the Deutsche Forschungsgemeinschaft has sponsored the project "Representation Theory of Finite Groups and Finite Di mensional Algebras". The proposal for this project was submitted by B. Huppert (Mainz), B. Fischer (Bielefeld), G. Michler (Essen), H. Pahlings (Aachen) and C. M. Ringel (Bielefeld) in order to strengthen the interaction between the different re search areas in representation theory. The Deutsche Forschungsgemeinschaft has given many research positions and fellowships for young algebraists enabling them to do research at their own uni versities or as visitors at well known research institutions in America, Australia, England and France. The whole project benefitted very much from an extensive exchange programme between German and American scientists sponsored by the Deutsche Forschungsgemeinschaft and by the National Science Foundation of the United States. This volume presents lectures given in a final conference and reports by members of the project. It is divided into two parts. The first part contains seven survey articles describing recent advances in different areas of representation theory. These articles do not only concentrate on the work done by the German research groups, but also inform on major developments of the subject at all. The volume omits those topics already treated in book form. In particular, it does not contain a survey on K.
Author : James E. Humphreys
Publisher : Cambridge University Press
ISBN 13 : 9780521674546
Total Pages : 260 pages
Book Rating : 4.6/5 (745 download)
Download or read book Modular Representations of Finite Groups of Lie Type written by James E. Humphreys and published by Cambridge University Press. This book was released on 2006 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic.
Author : Paul Fong
Publisher : American Mathematical Soc.
ISBN 13 : 0821814788
Total Pages : 562 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Arcata Conference on Representations of Finite Groups, Part 2 written by Paul Fong and published by American Mathematical Soc.. This book was released on 1987 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in these proceedings of the 1986 Arcata Summer Institute bear witness to the extraordinarily vital and intense research in the representation theory of finite groups. The confluence of diverse mathematical disciplines has brought forth work of great scope and depth. Particularly striking is the influence of algebraic geometry and cohomology theory in the modular representation theory and the character theory of reductive groups over finite fields, and in the general modular representation theory of finite groups. The continuing developments in block theory and the general character theory of finite groups is noteworthy. The expository and research aspects of the Summer Institute are well represented by these papers.
Author : Simeon Ivanov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821831403
Total Pages : 290 pages
Book Rating : 4.8/5 (314 download)
Download or read book Galois Theory, Rings, Algebraic Groups and Their Applications written by Simeon Ivanov and published by American Mathematical Soc.. This book was released on 1992 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection consists of original work on Galois theory, rings and algebras, algebraic geometry, group representations, algebraic K—theory and some of their applications.
