Showing a limited preview of this publication:
Abstract
For a p-block B of a finite group G, it is well known that Σχi ∈ Bχi(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