Arc-transitive maps with coprime Euler characteristic and edge number -- II

2024/03/27 by Cai Heng Li, Li, Cai Heng, Lu Yi Liu +1
Mathematics · #05C10 #20B25 #Advanced Topology and Set Theory #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2403.18335

openalex publication_date 2024/03/27 · openalex created_date 2024/03/29 · openalex updated_date 2026/07/28

Abstract

This is the second of a series of papers which aim towards a classification of edge-transitive maps of which the Euler characteristic and the edge number are coprime. This one carries out the classification work for arc-transitive maps with non-solvable automorphism groups, which together with the first one completes a description of arc-transitive maps with the Euler characteristic and the edge number coprime. The classification is involved with a construction of some new and interesting reversing maps.

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