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Locally isomorphic group rings

  • Klaus W. Roggenkamp
  • Martin J. Taylor
Part of the DMV Seminar book series (OWS, volume 18)

Abstract

In [Da; 64,1] E. C. Dade has constructed two non isomorphic metabelian groups G and H of order p3 . q6 for suitable prime numbers p and q, which have isomorphic group rings over every field. An analysis of his proof shows that also the group rings over \( \hat{\mathbb{Z}}{{}_{p}} \) are isomorphic for these pairs of groups for primes p.

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Copyright information

© Springer Basel AG 1992

Authors and Affiliations

  • Klaus W. Roggenkamp
    • 1
  • Martin J. Taylor
    • 2
  1. 1.Mathematisches Institut BUniversität StuttgartStuttgart 80Germany
  2. 2.Dept. of Mathematics U.M.I.S.T.ManchesterEngland

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