Groups PSL(3,p) and nonorientable regular maps

Autor:	Jin Ho Kwak, Shao-Fei Du
Rok vydání:	2009
Předmět:	Discrete mathematics Automorphism group Algebra and Number Theory PSL Regular map Automorphism Mathematics::Geometric Topology Graph Combinatorics Mathematics::Group Theory Vertex-transitive graph Edge-transitive graph Embedding Mathematics
Zdroj:	Journal of Algebra. 321:1367-1382
ISSN:	0021-8693
DOI:	10.1016/j.jalgebra.2008.11.037
Popis:	A 2-cell embedding of a graph on a nonorientable closed surface is called regular if its automorphism group acts regularly on its flags. This paper gives a classification of nonorientable regular maps with the automorphism groups PSL(3,p) for a prime p. Equivalently, we determine the representatives of orbits of Aut(PSL(3,p)) acting on the set of involutory generating triples (t¯,r¯,l¯) of PSL(3,p) such that t¯l¯=l¯t¯.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::273a926fc9697aeca54f91e66992b5aa https://doi.org/10.1016/j.jalgebra.2008.11.037 Zobrazit plný text záznamu Full Text from ScienceDirect