Some Refinements of Dade's Projective Conjecture

Authors: Adam Glesser (University of Aberdeen)

Abstract: In this paper a further refinement of Dade's projective conjecture, due to Boljte,
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.

Current Status: Submitted to the Journal of Algebra