Finite 2-groups having a cyclic or dihedral maximal subgroup and arc-transitive maps

Peice Hua

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arXiv · 2508.05981

Finite 2-groups having a cyclic or dihedral maximal subgroup and arc-transitive maps

Peice Hua

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Abstract

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.

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Peice Hua. 2025-08-08. Finite 2-groups having a cyclic or dihedral maximal subgroup and arc-transitive maps. https://arxiv.org/abs/2508.05981

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