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Israel Journal of Mathematics

, Volume 67, Issue 2, pp 170–180 | Cite as

On the second lowey term of projectives of a group algebra

  • Julio Lafuente
Article

Abstract

LetG be a finite group andK a field of prime characteristicsp. LetA be an irreducibleKG-module andP G(A) the projective cover ofA. In this paper we show that
$$\Phi _p (C_G (A)) \leqq C_G (P_G (A)/P_G (A)J(KG)^2 ) \leqq C_G (A) \cap \Phi _p (G)$$
, where, for a groupH, Φp(H)=Φ(H modO p′(H)).

Keywords

Exact Sequence Normal Subgroup Finite Group Irreducible Component Short Exact Sequence 
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

© Hebrew University 1989

Authors and Affiliations

  • Julio Lafuente
    • 1
  1. 1.Departmento de MatemáticasUniversidad de ZaragozaSpain

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