A note on the projective representations of $p$-solvable and $\pi$-separable group
Representation Theory
2025-12-23 v1 Group Theory
Abstract
Following Gluck and Wolf we complete the It\^o--Michler's Theorem for the projective representations of a -solvable or -separable group, and then we relate the projective irreducible modules of such a group with those of its Sylow -subroups and Hall -subgroups.
Keywords
Cite
@article{arxiv.2512.18704,
title = {A note on the projective representations of $p$-solvable and $\pi$-separable group},
author = {Mariagrazia Bianchi and Nicola Sambonet},
journal= {arXiv preprint arXiv:2512.18704},
year = {2025}
}
Comments
11 pages