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Pointed Groups on the Group Algebra

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Book cover Blocks of Finite Groups

Part of the book series: Springer Monographs in Mathematics ((SMM))

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Abstract

Let G be a finite group; our main purpose is to study the group algebra OG; actually, all the tools we are introducing are devoted to the analysis of this G-interior algebra. Note that OG is a symmetric O-algebra; more precisely, denote by v G : OGO the O-module homomorphism fulfilling v G (x) = δ 1, x for any xG; for any idempotents i, i′ of OG, we have an O-module homomorphism

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© 2002 Springer-Verlag Berlin Heidelberg

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Puig, L. (2002). Pointed Groups on the Group Algebra. In: Blocks of Finite Groups. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11256-4_10

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  • DOI: https://doi.org/10.1007/978-3-662-11256-4_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07802-6

  • Online ISBN: 978-3-662-11256-4

  • eBook Packages: Springer Book Archive

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