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  1. Home
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  3. Finite Group Algebras and their Modules
  • Cited by 83
Publisher:
Cambridge University Press
Online publication date:
April 2013
Print publication year:
1983
Online ISBN:
9781107325524
DOI:
https://doi.org/10.1017/CBO9781107325524
Subjects:
Mathematics (general), Mathematics, Algebra
Series:
London Mathematical Society Lecture Note Series (84)
Information

Book description

Originally published in 1983, the principal object of this book is to discuss in detail the structure of finite group rings over fields of characteristic, p, P-adic rings and, in some cases, just principal ideal domains, as well as modules of such group rings. The approach does not emphasize any particular point of view, but aims to present a smooth proof in each case to provide the reader with maximum insight. However, the trace map and all its properties have been used extensively. This generalizes a number of classical results at no extra cost and also has the advantage that no assumption on the field is required. Finally, it should be mentioned that much attention is paid to the methods of homological algebra and cohomology of groups as well as connections between characteristic 0 and characteristic p.

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