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Subgroup rigidity

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

Abstract

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]).

Keywords

Commutative Diagram Direct Summand Group Ring Splitting Field Isomorphism Problem 
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 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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