Ideals in the Centre of a Group Ring

  • M. F. O’Reilly
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 372)

Abstract

Let G be a finite group, 0 a commutative ring with identity and Γ(0G) the group ring of G over 0. In this paper we obtain ideals of the centre Z(0G)of P(0G) which when 0 = k, a field of characteristic p, include the ideal of Reynolds ([2], Theorem 1)

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References

  1. [1]
    James A. Green, “Some remarks on defect groups”, Math. Z. 107 (1968), 133–150. 2ßt38#2222.Google Scholar
  2. [2]
    William F Reynolds, “Sections and ideals of centres of group algebras”, J. Algebra 20 (1972), 176–181. Zb1.232.20005.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1974

Authors and Affiliations

  • M. F. O’Reilly
    • 1
  1. 1.University of Papua and New GuineaBorokoPapua-New Guinea

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