The Santa Cruz Conference on Finite Groups
Author: Bruce Cooperstein
Publisher: American Mathematical Soc.
Published: 1980
Total Pages: 654
ISBN-13: 0821814400
DOWNLOAD EBOOK →Author: Bruce Cooperstein
Publisher: American Mathematical Soc.
Published: 1980
Total Pages: 654
ISBN-13: 0821814400
DOWNLOAD EBOOK →Author: Bruce Cooperstein
Publisher: American Mathematical Soc.
Published: 1981-12-31
Total Pages: 658
ISBN-13: 9780821867976
DOWNLOAD EBOOK →Author: Paul Fong
Publisher: American Mathematical Soc.
Published: 1987
Total Pages: 501
ISBN-13: 082181477X
DOWNLOAD EBOOK →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: Chat Yin Ho
Publisher: Walter de Gruyter
Published: 2008-08-22
Total Pages: 434
ISBN-13: 3110198126
DOWNLOAD EBOOK →This is a volume of research articles related to finite groups. Topics covered include the classification of finite simple groups, the theory of p-groups, cohomology of groups, representation theory and the theory of buildings and geometries. As well as more than twenty original papers on the latest developments, which will be of great interest to specialists, the volume contains several expository articles, from which students and non-experts can learn about the present state of knowledge and promising directions for further research. The Finite Groups 2003 conference was held in honor of John Thompson. The profound influence of his fundamental contributions is clearly visible in this collection of papers dedicated to him.
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
Author: Michael Aschbacher
Publisher: American Mathematical Soc.
Published: 2011
Total Pages: 362
ISBN-13: 0821853368
DOWNLOAD EBOOK →Provides an outline and modern overview of the classification of the finite simple groups. It primarily covers the 'even case', where the main groups arising are Lie-type (matrix) groups over a field of characteristic 2. The book thus completes a project begun by Daniel Gorenstein's 1983 book, which outlined the classification of groups of 'noncharacteristic 2 type'.