Archiv der Mathematik

, Volume 68, Issue 3, pp 184–189 | Cite as

Automorphisms of blocks of group algebras and character values

  • Udo Riese
Article
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Abstract

Let G be a finite group, χ an irreducible complex character of G and A(χ) the block ideal of the group algebra ℚG relatedℴ χ. The aim of this paper is to study the group Aut (A(χ)) of all ring (or ℚ-algebra) automorphisms of A(χ). Especially we are interested in the existence of subgroups \(\tilde \Gamma \) of Aut (A(χ)), which are isomorphic to a given subgroup Γ of the Galois group of the field of character values ℚ(χ) over the rationals. In this context we prove some results related to character values.

Mathematics Subject Classification (1991)

16W20 20C05 20C15 
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Copyright information

© Birkhäuser Verlag 1997

Authors and Affiliations

  • Udo Riese
    • 1
  1. 1.Mathematisches InstitutUniversität TübingenTübingen

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