Blocks of Finite Groups and Their Invariants

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 clas...

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Bibliographic Details
Main Author Sambale, Benjamin
Format eBook
LanguageEnglish
Published Cham Springer Nature 2014
Springer International Publishing AG
Springer International Publishing
Edition1
SeriesLecture Notes in Mathematics
Subjects
Algebra & number theory
Blocks (Group theory)
Finite groups
Group Theory and Generalizations
Invariants
Mathematics
Mathematics and Statistics
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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 Most of the material is drawn from peer-reviewed journal articles, but there are also new previously unpublished results.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.
ISBN:9783319120065
3319120069
3319120050
9783319120058
ISSN:0075-8434
1617-9692
DOI:10.1007/978-3-319-12006-5