The strengthened Alperin-McKay conjecture for p-solvable groups

JOURNAL OF ALGEBRA

卷:394

Article

Turull, Alexandre

关键词: Clifford theory;    Brauer group;    Schur index;    Finite groups;    Representations;   

DOI  :  10.1016/j.jalgebra.2013.06.028

来源: Elsevier

【 摘 要 】

The Alperin-McKay conjecture is a well-known conjecture. It is known to be true for p-solvable groups by work of Dade and Okuyama-Wajima. Recently, this conjecture has been strengthened by work of Isaacs-Navarro, Navarro and Turull. This refinement involves the degrees modulo p of the characters involved, the field of values over the p-adic numbers of the relevant characters, and their p-local Schur indices. In this paper, we prove that this strengthened version of the conjecture is true for all p-solvable groups. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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