Blocks of Finite Groups and Their Invariants / by Benjamin Sambale.

Format:

Book

Author/Creator:

Sambale, Benjamin, 1985- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 2127.

Lecture Notes in Mathematics, 0075-8434 ; 2127

Language:

English

Subjects (All):

Group theory.

Group Theory and Generalizations.

Local Subjects:

Group Theory and Generalizations.

Physical Description:

1 online resource (XIII, 243 pages 1 illustrations).

Contained In:

Springer eBooks

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2014.

System Details:

text file PDF

Summary:

Providing a nearly complete selection of up-to-date methods and results on block invariants with respect to their defect groups, this book covers the classical theory pioneered by Brauer, the modern theory of fusion systems introduced by Puig, the geometry of numbers developed by Minkowski, the classification of finite simple groups, and various computer assisted methods. In a powerful combination, these tools are applied to solve many special cases of famous open conjectures in the representation theory of finite groups. Most of the material is drawn from peer-reviewed journal articles, but there are also new previously unpublished results. In order to make the text self-contained, detailed proofs are given whenever possible. Several tables add to the text's usefulness as a reference. The book is aimed at experts in group theory or representation theory who may wish to make use of the presented ideas in their research.

Contents:

Zusammenfassung

Introduction

Fundamentals

General results and methods

Applications

Bibliopraphy

Index

List of tables.

Other Format:

Printed edition:

ISBN:

9783319120065

Access Restriction:

Restricted for use by site license.