The purpose of this 1982 book is to present an introduction to developments which had taken place in finite group theory related to finite geometries. This book is practically self-contained and readers are assumed to have only an elementary knowledge of linear algebra. Among other things, complete descriptions of the following theorems are given in this book; the nilpotency of Frobneius kernels, Galois and Burnside theorems on permutation groups of prime degree, the Omstrom-Wagner theorem on projective planes, and the O'Nan and Ito theorems on characterizations of projective special linear groups. Graduate students and professionals in pure mathematics will continue to find this account of value.
1. On Characterizing Designs By Their Codes (B. Bagchi).- 2. The Geometry of Extremal Elements in a Lie Algebra (A.M. Cohen).- 3. Properties of a 27-dimensional Space of Symmetric Bilinear Forms...
A study of the theory of finite groups, intended for the reader who has been exposed to about three years of serious mathematics. The notion of a group appears widely in mathematics and even further...
About 60 years ago, R. Brauer introduced "block theory"; his purpose was to study the group algebra kG of a finite group G over a field k of nonzero characteristic p: any indecomposable two-sided...