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Licensed Unlicensed Requires Authentication Published by De Gruyter November 20, 2009

A note on a conjecture of K. Harada and strongly p-embedded Frobenius subgroups

  • Masahiko Miyamoto
From the journal Journal of Group Theory

Abstract

For a p-block B of a finite group G, it is well known that ΣχiBχi(1)χi vanishes on all p-singular elements of G. The converse proposition was proposed by K. Harada and partially proved by several authors using decomposition matrices. We give a partial answer without using decomposition matrices in the case where G has a strongly p-embedded subgroup.

Received: 2008-09-04
Revised: 2009-07-27
Published Online: 2009-11-20
Published in Print: 2010-July

© de Gruyter 2010

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