عنوان

Applying the classification of finite simple groups :

(Number (ISBN

1470442914

(Number (ISBN

9781470442910

Title Proper

Applying the classification of finite simple groups :

General Material Designation

[Book]

Other Title Information

a user's guide /

First Statement of Responsibility

Stephen D. Smith.

Place of Publication, Distribution, etc.

Providence, Rhode Island :

Name of Publisher, Distributor, etc.

American Mathematical Society,

Date of Publication, Distribution, etc.

[2018]

Specific Material Designation and Extent of Item

xiii, 231 pages ;

Dimensions

27 cm

Series Title

Mathematical surveys and monographs ;

Volume Designation

volume 230

Text of Note

Includes bibliographical references and index.

Text of Note

Background : simple groups and their properties -- Outline of the proof of the CFSG : some main ideas -- Thompson factorization -- and its failure : FF-methods -- Recognition theorems for simple groups -- Representation theory of simple groups -- Maximal subgroups and primitive representations -- Geometries for simple groups -- Some fusion techniques for classification problems -- Some applications close to finite group theory -- Some applications farther afield from finite groups -- Appendix A. Some supplementary notes to the text -- Appendix B. Further remarks on certain exercises.

0

Text of Note

"Classification of Finite Simple Groups (CFSG) is a major project involving work by hundreds of researchers. The work was largely completed by about 1983, although final publication of the "quasithin" part was delayed until 2004. Since the 1980s, CFSG has had a huge influence on work in finite group theory and in many adjacent fields of mathematics. This book attempts to survey and sample a number of such topics from the very large and increasingly active research area of applications of CFSG. The book is based on the author's lectures at the September 2015 Venice Summer School on Finite Groups. With about 50 exercises from original lectures, it can serve as a second-year graduate course for students who have had first-year graduate algebra. It may be of particular interest to students looking for a dissertation topic around group theory. It can also be useful as an introduction and basic reference; in addition, it indicates fuller citations to the appropriate literature for readers who wish to go on to more detailed sources"--The publisher.

Parallel Title

Classification of finite simple groups

Finite simple groups.

Representations of groups.

Finite simple groups.

Group theory and generalizations-- Abstract finite groups-- Finite simple groups and their classification.

Group theory and generalizations-- Connections with homological algebra and category theory-- Connections with homological algebra and category theory.

Group theory and generalizations-- Linear algebraic groups and related topics-- Linear algebraic groups and related topics.

Group theory and generalizations-- Permutation groups-- Permutation groups.

Group theory and generalizations-- Representation theory of groups-- Representation theory of groups.

Group theory and generalizations-- Research exposition (monographs, survey articles)

Group theory and generalizations-- Structure and classification of infinite or finite groups-- Structure and classification of infinite or finite groups.

Representations of groups.

Number

Edition

Class number

Book number

Class number

Class number

System Code

System Code

Smith, Stephen D.,1948-

Date of Transaction

20200823025832.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y