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Abstract
As a first step in a general verification of the Alperin–McKay conjecture, we prove a reduction of the conjecture to statements about simple groups. Furthermore we show in numerous cases, that simple groups satisfy the required conditions. The methods are also applied to obtain similar results for refinements due to Isaacs and Navarro.
Received: 2011-05-27
Revised: 2011-10-14
Published Online: 2012-03-29
Published in Print: 2013-06
©[2013] by Walter de Gruyter Berlin Boston