Finite Group Algebras and their Modules / P. Landrock.

By: Landrock, P [author.]Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 84Publisher: Cambridge : Cambridge University Press, 1983Description: 1 online resource (286 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9781107325524 (ebook)Other title: Finite Group Algebras & their ModulesSubject(s): Group algebras | Finite groups | Algebraic fields | Modules (Algebra)Additional physical formats: Print version: : No titleDDC classification: 512/.24 LOC classification: QA171 | .L277 1983Online resources: Click here to access online Summary: 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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Title from publisher's bibliographic system (viewed on 16 Oct 2015).

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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