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 ?$\mathcal{H}$? is called a Frobenius hypermap if ?$\mathrm{Aut} (\mathcal{H})$? 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 A. B. D'Azevedo and M. E. Fernandes Eur. J. Comb. 32, No. 2, 233242 (2011).

Rights

URN

URN:NBN:SI:DOC-3TV3CS1Q

COBISSID

150269955

DOI

10.26493/1855-3974.2415.fd1

Added

02.10.2023

Metadata

Citation

APA:

Yuan, Kai, Wang, Yan (2023). Classification of minimal Frobenius hypermaps. Ars mathematica contemporanea, volume 23, issue 2, P2.03 (8 str.). URN:NBN:SI:DOC-3TV3CS1Q from http://www.dlib.si

MLA:

Yuan, Kai, Wang, Yan. "Classification of minimal Frobenius hypermaps." Ars mathematica contemporanea volume 23. issue 2 (2023) P2.03 (8 str.).
<http://www.dlib.si/?URN=URN:NBN:SI:DOC-3TV3CS1Q>

Ars mathematica contemporanea
2008-
(Assembly record)