Fusion Systems on Sylow $3$-subgroups of Fischer and Monster sporadic groups: I
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866915961091653632 |
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| author | Gautam, Pete |
| author_facet | Gautam, Pete |
| contents | We classify all corefree fusion systems on a Sylow $3$-subgroup of the sporadic groups $\mathrm{Fi}_{22}$, $\mathrm{Fi}_{23}$ and $\mathrm{B}$. We show that the $3$-group in each case does not support any exotic fusion systems. This is the first of two papers that will complete the classification of all corefree fusion systems on Sylow $p$-subgroups of sporadic groups for $p$ odd. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_24676 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fusion Systems on Sylow $3$-subgroups of Fischer and Monster sporadic groups: I Gautam, Pete Group Theory 20D20, 20D05, 20D06, 20D08, 20E42 We classify all corefree fusion systems on a Sylow $3$-subgroup of the sporadic groups $\mathrm{Fi}_{22}$, $\mathrm{Fi}_{23}$ and $\mathrm{B}$. We show that the $3$-group in each case does not support any exotic fusion systems. This is the first of two papers that will complete the classification of all corefree fusion systems on Sylow $p$-subgroups of sporadic groups for $p$ odd. |
| title | Fusion Systems on Sylow $3$-subgroups of Fischer and Monster sporadic groups: I |
| topic | Group Theory 20D20, 20D05, 20D06, 20D08, 20E42 |
| url | https://arxiv.org/abs/2604.24676 |