Fusion Systems and Simple Groups With Class Two Sylow $p$-subgroups
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912048535830528 |
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| author | van Beek, Martin |
| author_facet | van Beek, Martin |
| contents | We determine all reduced saturated fusion systems supported on a finite $p$-group of nilpotency class two. As a consequence, we obtain a new proof of Gilman & Gorenstein's classification of finite simple groups with class two Sylow $2$-subgroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18870 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fusion Systems and Simple Groups With Class Two Sylow $p$-subgroups van Beek, Martin Group Theory 20D20, 20D05, 20E42 We determine all reduced saturated fusion systems supported on a finite $p$-group of nilpotency class two. As a consequence, we obtain a new proof of Gilman & Gorenstein's classification of finite simple groups with class two Sylow $2$-subgroups. |
| title | Fusion Systems and Simple Groups With Class Two Sylow $p$-subgroups |
| topic | Group Theory 20D20, 20D05, 20E42 |
| url | https://arxiv.org/abs/2409.18870 |