Subgroup rigidity

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


As we will see in Section IX, the isomorphism problem is closely related to the study of augmentation preserving automorphisms of the group ring (cf. the discussion of the Zassenhaus conjecture in [R-S; 87 3]), and to the structure of the group of augmented units in the group ring. We shall quote here without proof the most far reaching result, which has been obtained so far (cf. [Sc; 87] and [Sc; 90]).


Commutative Diagram Direct Summand Group Ring Splitting Field Isomorphism Problem 
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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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