Vertex-primitive half-transitive graphs

Autor: D. E. Taylor, Ming-Yao Xu
Rok vydání: 1994
Předmět:
Zdroj: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics. 57:113-124
ISSN: 0263-6115
DOI: 10.1017/s1446788700036090
Popis: Given an infinite family of finite primitive groups, conditions are found which ensure that almost all the orbitals are not self-paired. If p is a prime number congruent to ±1(mod 10), these conditions apply to the groups P S L (2, p) acting on the cosets of a subgroup isomorphic to A5. In this way, infinitely many vertex-primitive ½-transitive graphs which are not metacirculants are obtained.
Databáze: OpenAIRE