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

Markus Linckelmann

ISBN 10: 1108441831 / ISBN 13: 9781108441834

Published by Cambridge University Press 2018-05-24, 2018

About this Item

Seller Inventory # 6666-GRD-9781108441834

Bibliographic Details

• Title: The Block Theory of Finite Group Algebras: Volume 1 (London Mathematical Society Student Texts, Series Number 91)
• Publisher: Cambridge University Press 2018-05-24
• Publication Date: 2018
• Language: English
• ISBN 10: 1108441831
• ISBN 13: 9781108441834
• Binding: Paperback
• Condition: New

About this title

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.

About the Author

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