A note on the projective representations of $p$-solvable and $\ddot{I}€$-separable group

Abstract

Following Gluck and Wolf we complete the Itô--Michler's Theorem for the projective representations of a $p$-solvable or $\ddot{I}€$-separable group, and then we relate the projective irreducible modules of such a group with those of its Sylow $p$-subroups and Hall $\ddot{I}€$-subgroups.

11 pages