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

2025/08/08 by Peice Hua, Hua, Peice · 1 citation
Mathematics · #05C10 #20B25 #20D15 #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2508.05981

openalex publication_date 2025/08/08 · openalex created_date 2025/10/15 · openalex updated_date 2026/07/28

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,M) , such that G is a finite 2-group and M is a G -arc-transitive map with Euler characteristic not being divisible by 4.

Citations

• Finite groups and arc-transitive maps of square-free Euler characteristic

Cited by

• Finite groups and arc-transitive maps of square-free Euler characteristic

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