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Maps with Euler characteristic coprime to the number of edges

  • Speaker: Luyi Liu (SUSTech)

  • Time: Dec 10, 2023, 10:00-10:40

  • Location: M4009, College of Science Bldg.

Abstract: A characterization is given of the automorphism groups of maps with Euler characteristic being coprime to the number of edges. Then a characterization is presented of arc-transitive maps. In particular, the map can only be a regular map or an arc-regular map of specific type if the automorphism group is non-solvable.