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The Block Theory of Finite Group Algebras: Volume 1: 91 (London Mathematical Society Student Texts, Series Number 91)
Mathematics

The Block Theory of Finite Group Algebras: Volume 1: 91 (London Mathematical Society Student Texts, Series Number 91)

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About This Book

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.

About the Author

The Block Theory of Finite Group Algebras: Volume 1: 91 is authored by Markus Linckelmann.

Product description Review 'This 2-volume book is a very welcome addition to the existing literature in modular representation theory. It contains a wealth of material much of which is here presented in textbook form for the first time. It gives an excellent overview of the state of the art in this fascinating subject and also of the many challenging and fundamental open problems. It is well written and will certainly become a standard reference.' Burkhard Kűlshammer, MathSciNet Book Description A comprehensive treatment of block theory, emphasising cornerstones of the area which have not appeared in any book before. About the Author Markus Linckelmann is a Professor in the Department of Mathematics at City, University of London. Read more

Book Highlights

Published by ‎ Cambridge University Press
Language: ‎ English
Publication date: ‎ 24 May 2018
Edition: ‎ 1st
Category: Mathematics > Algebra & Trigonometry
Dimensions: ‎ 15.7 x 3.2 x 23.5 cm
Weight: ‎ 850 g
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Book Specifications

ISBN-139781108425919
ISBN-101108425917
Publisher‎ Cambridge University Press
Language‎ English
Dimensions‎ 15.7 x 3.2 x 23.5 cm
Weight‎ 850 g
Country‎ India
CategoryMathematics › Algebra & Trigonometry

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