The Block Theory of Finite Group Algebras

Language: English

Published by Cambridge University Press, GB, 2018

1108441831 / 9781108441834

Series: Book 76 of 83 - London Mathematical Society Student Texts

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This is a comprehensive introduction to the modular representation theory of finite groups, with an emphasis on block theory. The two volumes take into account classical results and concepts as well as some of the modern developments in the area. Volume 1 introduces the broader context, starting with general properties of finite group algebras over commutative rings, moving on to some basics in character theory and the structure theory of algebras over complete discrete valuation rings. In Volume 2, blocks of finite group algebras over complete p-local rings take centre stage, and many key results which have not appeared in a book before are treated in detail. In order to illustrate the wide range of techniques in block theory, the book concludes with chapters classifying the source algebras of blocks with cyclic and Klein four defect groups, and relating these classifications to the open conjectures that drive block theory.

Seller Inventory # LU-9781108441834

Title
The Block Theory of Finite Group Algebras
Author
Markus Linckelmann
Publisher
Cambridge University Press, GB
Publication year
2018
Condition
New
Binding
Paperback
Language
English
ISBN 10
1108441831
ISBN 13
9781108441834
Item weight
740 grams
Series
Book 76 of 83: London Mathematical Society Student Texts

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