Geodesic
Classification of minimal Frobenius hypermaps
Ars Mathematica Contemporanea, Tome 23 (2023) no. 2, article no. 03, 8 p.

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In this paper, we give a classification of orientably regular hypermaps with an automorphism group that is a minimal Frobenius group. A Frobenius group G is called minimal if it has no nontrivial normal subgroup N such that G/N is a Frobenius group. An orientably regular hypermap H is called a Frobenius hypermap if Aut(H) acting on the hyperfaces is a Frobenius group. A minimal Frobenius hypermap is a Frobenius hypermap whose automorphism group is a minimal Frobenius group with cyclic point stabilizers. Every Frobenius hypermap covers a minimal Frobenius hypermap. The main theorem of this paper generalizes the main result of Breda D’Azevedo and Fernandes in 2011.
DOI : 10.26493/1855-3974.2415.fd1
Keywords: Frobenius hypermap, Frobenius group 
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Kai Yuan; Yan Wang. Classification of minimal Frobenius hypermaps. Ars Mathematica Contemporanea, Tome 23 (2023) no. 2, article  no. 03, 8 p. doi : 10.26493/1855-3974.2415.fd1. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2415.fd1/

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