Vertex transitive maps on the Klein bottle

Ondrej Šuch

Abstract


We examine properties of groups associated with vertex transitive maps on the Klein bottle. As an application, we prove that all 4-line vertex transitive maps on the Klein bottle introduced by Babai admit a free vertex transitive action, but there others that do not.

Keywords


Klein bottle, wallpaper group, vertex-transitive map

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DOI: https://doi.org/10.26493/1855-3974.133.bf8

ISSN: 1855-3974

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