A characterization of the split Cayley generalized hexagon H(q) using one subhexagon of order (1,q)

Autor:	Hendrik Van Maldeghem, Joris De Kaey
Rok vydání:	2005
Předmět:	Discrete mathematics Combinatorics Automorphism group Discrete Mathematics and Combinatorics Graph isomorphism Graph Theoretical Computer Science Mathematics
Zdroj:	Discrete Mathematics. 294:109-118
ISSN:	0012-365X
DOI:	10.1016/j.disc.2004.04.039
Popis:	In this paper, we prove that, if a generalized hexagon @C of order q contains a subhexagon @C^' (of order (1,q)) isomorphic to the incidence graph of the Desarguesian plane PG(2,q), and if the automorphism group of @C stabilizing @C^' induces all elations in PG(2,q), then @C must be isomorphic to the split Cayley hexagon H(q).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b7e65f9b45b4f4a3ca455cc60051254a https://doi.org/10.1016/j.disc.2004.04.039 Zobrazit plný text záznamu Full Text from ScienceDirect