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Group Algebras of pro-p Groups

  • Helmut Koch
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

The results to be proved in this chapter refer again mostly to presentations of a pro-p group by generators and relations. They will be derived using the complete group algebra of a pro-p group. In this chapter, Λ will always denote a compact commutative ring with identity. For finite groups G, the additive group of the group ring Λ[G] is isomorphic to the direct sum of #G copies of Λ, and thus inherits a topology that makes Λ[G] into a compact group ring.

Keywords

Group Algebra Group Ring Minimal System Neighborhood Basis Profinite Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Helmut Koch
    • 1
  1. 1.Institut für MathematikHumboldt-Universität BerlinBerlinGermany

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