Some refinements of Dade's projective conjecture

[摘要] 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. (c) 2007 Elsevier Inc. All rights reserved.

[发布日期] 2007-12-15

[关键词] representation theory of finite groups;Dade's projective conjecture;contractibility;p-solvable groups