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Some refinements of Dade's projective conjecture
Authors:Adam Glesser  
Affiliation:aMathematical Sciences, King's College, University of Aberdeen, Aberdeen AB24 3UE, UK
Abstract:In this paper a further refinement of Dade's projective conjecture, due to Boltje, is presented. This new statement includes ideas first published by Isaacs and Navarro as well as the recent contractibility version of Alperin's conjecture introduced by Boltje. Leaning heavily on the work of Robinson, weaker forms of the conjecture are proved in the case of p-solvable groups.
Keywords:Representation theory of finite groups   Dade's projective conjecture   Contractibility   p-Solvable groups
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