Seminar on Algebraic Groups and Related Finite Groups
Author: Armand Borel
Publisher: Springer
Published: 2006-11-14
Total Pages: 329
ISBN-13: 354036272X
DOWNLOAD EBOOK →Author: Armand Borel
Publisher: Springer
Published: 2006-11-14
Total Pages: 329
ISBN-13: 354036272X
DOWNLOAD EBOOK →Author: Armand Borel
Publisher:
Published: 2014-09-01
Total Pages: 340
ISBN-13: 9783662208182
DOWNLOAD EBOOK →Author: Seminar on Algebraic Groups and Related Finite Groups. 1968 - 1969, Princeton, NJ.
Publisher:
Published: 1986
Total Pages: 321
ISBN-13:
DOWNLOAD EBOOK →Author: Paul Fong
Publisher: American Mathematical Soc.
Published: 1987-12-31
Total Pages: 504
ISBN-13: 9780821868119
DOWNLOAD EBOOK →Author: R.W. Carter
Publisher: Springer Science & Business Media
Published: 1998-08-31
Total Pages: 406
ISBN-13: 9780792352518
DOWNLOAD EBOOK →This volume contains 19 articles written by speakers at the Advanced Study Institute on 'Modular representations and subgroup structure of al gebraic groups and related finite groups' held at the Isaac Newton Institute, Cambridge from 23rd June to 4th July 1997. We acknowledge with gratitude the financial support given by the NATO Science Committee to enable this ASI to take place. Generous financial support was also provided by the European Union. We are also pleased to acknowledge funds given by EPSRC to the Newton Institute which were used to support the meeting. It is a pleasure to thank the Director of the Isaac Newton Institute, Professor Keith Moffatt, and the staff of the Institute for their dedicated work which did so much to further the success of the meeting. The editors wish to thank Dr. Ross Lawther and Dr. Nick Inglis most warmly for their help in the production of this volume. Dr. Lawther in particular made an invaluable contribution in preparing the volume for submission to the publishers. Finally we wish to thank the distinguished speakers at the ASI who agreed to write articles for this volume based on their lectures at the meet ing. We hope that the volume will stimulate further significant advances in the theory of algebraic groups.
Author: Arkadij L. Onishchik
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 347
ISBN-13: 364274334X
DOWNLOAD EBOOK →This book is based on the notes of the authors' seminar on algebraic and Lie groups held at the Department of Mechanics and Mathematics of Moscow University in 1967/68. Our guiding idea was to present in the most economic way the theory of semisimple Lie groups on the basis of the theory of algebraic groups. Our main sources were A. Borel's paper [34], C. ChevalIey's seminar [14], seminar "Sophus Lie" [15] and monographs by C. Chevalley [4], N. Jacobson [9] and J-P. Serre [16, 17]. In preparing this book we have completely rearranged these notes and added two new chapters: "Lie groups" and "Real semisimple Lie groups". Several traditional topics of Lie algebra theory, however, are left entirely disregarded, e.g. universal enveloping algebras, characters of linear representations and (co)homology of Lie algebras. A distinctive feature of this book is that almost all the material is presented as a sequence of problems, as it had been in the first draft of the seminar's notes. We believe that solving these problems may help the reader to feel the seminar's atmosphere and master the theory. Nevertheless, all the non-trivial ideas, and sometimes solutions, are contained in hints given at the end of each section. The proofs of certain theorems, which we consider more difficult, are given directly in the main text. The book also contains exercises, the majority of which are an essential complement to the main contents.
Author: William R. Scott
Publisher: Academic Press
Published: 2014-05-10
Total Pages: 580
ISBN-13: 1483261085
DOWNLOAD EBOOK →Proceedings of the Conference on Finite Groups provides information pertinent to the fundamental aspects of finite group theory. This book presents the problem of characterizing simple groups in terms of the local structure of a group. Organized into five parts encompassing 43 chapters, this book begins with an overview of the characterization of the Chevalley groups over fields of odd order and indicates the role of this characterization in the theory of component type groups. This text then examines the structure as well as the representations of specific simple groups. Other chapters consider the general theory of representations and characters of finite groups. This book discusses as well permutation groups and the connection between group theory and geometry. The final chapter deals with finite solvable groups as well as the theory of formations. This book is a valuable resource for mathematicians, graduate students, and research workers.
Author: V. Dlab
Publisher: Springer Science & Business Media
Published: 2013-04-18
Total Pages: 392
ISBN-13: 9401715564
DOWNLOAD EBOOK →Based on invited lectures at the 1992 Canadian Algebra Seminar, this volume represents an up-to-date and unique report on finite-dimensional algebras as a subject with many serious interactions with other mathematical disciplines, including algebraic groups and Lie theory, automorphic forms, sheaf theory, finite groups, and homological algebra. It will interest mathematicians and graduate students in these and related subjects as an introduction to research in an area of increasing relevance and importance.
Author: B. Hartley
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 469
ISBN-13: 9401103291
DOWNLOAD EBOOK →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