๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Classification of finite simple groups 1 Number 1

โœ Scribed by Daniel Gorenstein, Richard Lyons, Ronald Solomon

Book ID
127418186
Publisher
American Mathematical Society
Year
1994
Tongue
English
Weight
1 MB
Series
AMS survey 40
Category
Library
ISBN
0821803344

No coin nor oath required. For personal study only.

โœฆ Synopsis

This book offers a single source of basic facts about the structure of the finite simple groups with emphasis on a detailed description of their local subgroup structures, coverings and automorphisms. The method is by examination of the specific groups, rather than by the development of an abstract theory of simple groups. While the purpose of the book is to provide the background for the proof of the classification of the finite simple groups - dictating the choice of topics - the subject matter is covered in such depth and detail that the book should be of interest to anyone seeking information about the structure of the finite simple groups. This volume offers a wealth of basic facts and computations. Much of the material is not readily available from any other source. In particular, the book contains the statements and proofs of the fundamental Borel-Tits Theorem and Curtis-Tits Theorem. It also contains complete information about the centralizers of semisimple involutions in groups of Lie type, as well as many other local subgroups.

๐Ÿ“œ SIMILAR VOLUMES

Classification of finite simple groups 1
Classification of finite simple groups 1 Number 1
โœ Daniel Gorenstein, Richard Lyons, Ronald Solomon ๐Ÿ“‚ Library ๐Ÿ“… 1994 ๐Ÿ› American Mathematical Society ๐ŸŒ English โš– 1 MB

The classification of the finite simple groups is one of the major feats of contemporary mathematical research, but its proof has never been completely extricated from the journal literature in which it first appeared. This book serves as an introduction to a series devoted to organizing and simplif

Locally Finite Simple Groups of 1-Type
Locally Finite Simple Groups of 1-Type
โœ Stefaan Delcroix; Ulrich Meierfrankenfeld ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 152 KB

A locally finite, simple group G is said to be of 1-type if every Kegel cover for G has a factor which is an alternating group. In this paper we study the finite subgroups of locally finite simple groups of 1-type. We also introduce the concept of ''block-diagonal embeddings'' for groups of alternat

Classification of finite simple groups 2
Classification of finite simple groups 2. Part I, chapter G: general group theory Number 2
โœ Daniel Gorenstein ๐Ÿ“‚ Library ๐Ÿ“… 1995 ๐Ÿ› American Mathematical Society ๐ŸŒ English โš– 2 MB

The Classification Theorem is one of the main achievements of 20th century mathematics, but its proof has not yet been completely extricated from the journal literature in which it first appeared. This is the second volume in a series devoted to the presentation of a reorganized and simplified proof