Geodesic
Frobenius groups which are the automorphism groups of orientably-regular maps
Ars Mathematica Contemporanea, Tome 19 (2020) no. 2, pp. 363-374.

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In this paper, we prove that a Frobenius group (except for those which are dihedral groups) can only be the automorphism group of an orientably-regular chiral map. The necessary and sufficient conditions for a Frobenius group to be the automorphism group of an orientably-regular chiral map are given. Furthermore, these orientably-regular chiral maps with Frobenius automorphisms are proved to be normal Cayley maps. Frobenius groups conforming to these conditions are also constructed.
DOI : 10.26493/1855-3974.1851.b44
Keywords: Frobenius group, (orientably) regular map, automorphism group 
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Hai-Peng Qu; Yan Wang; Kai Yuan. Frobenius groups which are the automorphism groups of orientably-regular maps. Ars Mathematica Contemporanea, Tome 19 (2020) no. 2, pp. 363-374. doi : 10.26493/1855-3974.1851.b44. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1851.b44/

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