Finite 2-groups having a cyclic or dihedral maximal subgroup and arc-transitive maps
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912527163588608 |
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| author | Hua, Peice |
| author_facet | Hua, Peice |
| contents | We classify all finite 2-groups that have a cyclic or dihedral maximal subgroup and determine their automorphism groups. Based on this result, we classify all pairs $ (G,\mathcal{M}) $, such that $ G $ is a finite 2-group and $ \mathcal{M} $ is a $ G $-arc-transitive map with Euler characteristic not being divisible by 4. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_05981 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite 2-groups having a cyclic or dihedral maximal subgroup and arc-transitive maps Hua, Peice Group Theory Combinatorics 20D15, 20B25, 05C10 We classify all finite 2-groups that have a cyclic or dihedral maximal subgroup and determine their automorphism groups. Based on this result, we classify all pairs $ (G,\mathcal{M}) $, such that $ G $ is a finite 2-group and $ \mathcal{M} $ is a $ G $-arc-transitive map with Euler characteristic not being divisible by 4. |
| title | Finite 2-groups having a cyclic or dihedral maximal subgroup and arc-transitive maps |
| topic | Group Theory Combinatorics 20D15, 20B25, 05C10 |
| url | https://arxiv.org/abs/2508.05981 |