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arXiv · 2512.18704

A note on the projective representations of $p$-solvable and $\pi$-separable group

Mariagrazia Bianchi·Nicola Sambonet
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Abstract

Following Gluck and Wolf we complete the It\^o--Michler's Theorem for the projective representations of a $p$-solvable or $\pi$-separable group, and then we relate the projective irreducible modules of such a group with those of its Sylow $p$-subroups and Hall $\pi$-subgroups.

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Mariagrazia Bianchi, Nicola Sambonet. 2025-12-21. A note on the projective representations of $p$-solvable and $\pi$-separable group. https://arxiv.org/abs/2512.18704

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