Character Triple Conjecture for $p$-Solvable Groups

Abstract

In this paper, we prove Späth's Character Triple Conjecture for $p$-solvable groups. This is a conjecture proposed by Späth during the reduction process of Dade's Projective Conjecture to quasisimple groups. In addition, as suggested by Isaacs and Navarro, we take into account the $p$-residue of characters.