Group Algebras of pro-p Groups

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


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.


Group Algebra Group Ring Minimal System Neighborhood Basis Profinite Group 
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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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