Characters and the Generation of Sylow 3-Subgroups For Almost Simple Groups
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908988498509824 |
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| author | Ketchum, Eden |
| author_facet | Ketchum, Eden |
| contents | Given an almost simple group $A$, we algorithmically show that the character table of $A$ determines whether or not the Sylow 3-subgroups of $A$ are 2-generated. We show this property is equivalent to a condition involving the Galois action on characters in the principal $3$-block. This would be a consequence of the Alperin-McKay-Navarro conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02854 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characters and the Generation of Sylow 3-Subgroups For Almost Simple Groups Ketchum, Eden Group Theory Given an almost simple group $A$, we algorithmically show that the character table of $A$ determines whether or not the Sylow 3-subgroups of $A$ are 2-generated. We show this property is equivalent to a condition involving the Galois action on characters in the principal $3$-block. This would be a consequence of the Alperin-McKay-Navarro conjecture. |
| title | Characters and the Generation of Sylow 3-Subgroups For Almost Simple Groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2509.02854 |