The Block Theory of Finite Group Algebras: Volume 2 (London Mathematical Society Student Texts, Series Number 92) - Softcover

Linckelmann, Markus

 
9781108441803: The Block Theory of Finite Group Algebras: Volume 2 (London Mathematical Society Student Texts, Series Number 92)

Synopsis

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.

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About the Author

Markus Linckelmann is a Professor in the Department of Mathematics at City, University of London.

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Other Popular Editions of the Same Title

9781108425902: The Block Theory of Finite Group Algebras: Volume 2: 92 (London Mathematical Society Student Texts, Series Number 92)

Featured Edition

ISBN 10:  1108425909 ISBN 13:  9781108425902
Publisher: Cambridge University Press, 2018
Hardcover