A note on the projective representations of $p$-solvable and $π$-separable group
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912780418809856 |
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| author | Bianchi, Mariagrazia Sambonet, Nicola |
| author_facet | Bianchi, Mariagrazia Sambonet, Nicola |
| contents | Following Gluck and Wolf we complete the Itô--Michler's Theorem for the projective representations of a $p$-solvable or $π$-separable group, and then we relate the projective irreducible modules of such a group with those of its Sylow $p$-subroups and Hall $π$-subgroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18704 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on the projective representations of $p$-solvable and $π$-separable group Bianchi, Mariagrazia Sambonet, Nicola Representation Theory Group Theory 20C25, 20D20 Following Gluck and Wolf we complete the Itô--Michler's Theorem for the projective representations of a $p$-solvable or $π$-separable group, and then we relate the projective irreducible modules of such a group with those of its Sylow $p$-subroups and Hall $π$-subgroups. |
| title | A note on the projective representations of $p$-solvable and $π$-separable group |
| topic | Representation Theory Group Theory 20C25, 20D20 |
| url | https://arxiv.org/abs/2512.18704 |