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A reduction theorem for the Alperin–McKay conjecture
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Britta Späth
Published/Copyright:
March 29, 2012
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
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Articles in the same Issue
- Homological mirror symmetry for toric orbifolds of toric del Pezzo surfaces
- On nonary cubic forms: IV
- Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations
- Inhomogeneous cubic congruences and rational points on del Pezzo surfaces
- A reduction theorem for the Alperin–McKay conjecture
- Regularity of solutions to the parabolic fractional obstacle problem
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