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On the second lowey term of projectives of a group algebra

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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)).

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Authors and Affiliations

  1. Departmento de Matemáticas, Universidad de Zaragoza, Spain

    Julio Lafuente

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  1. Julio Lafuente
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Lafuente, J. On the second lowey term of projectives of a group algebra. Israel J. Math. 67, 170–180 (1989). https://doi.org/10.1007/BF02937293

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  • DOI: https://doi.org/10.1007/BF02937293

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