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Finite 2-groups having a cyclic or dihedral maximal subgroup and arc-transitive maps (2508.05981v1)
Published 8 Aug 2025 in math.GR and math.CO
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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