Classifying Arc-Transitive Circulants of Square-Free Order

Authors:
Caiheng Li;Dragan Marušič;Joy Morris
Affiliations:
Department of Mathematics and Statistics, University of Western Australia, Nedlands, WA 6907, Australia;IMFM, Oddelek za matematiko, Univerza v Ljubljani, Jadranska 19, 1000 Ljubljana, Slovenia;Department of Mathematics and Statistics, Simon Fraser University, Burnaby, BC, Canada, V5A 1S6
Venue:
Journal of Algebraic Combinatorics: An International Journal
Year:
2001

Citing 1
Cited 2

A Classification of 2-Arc-Transitive Circulants

Journal of Algebraic Combinatorics: An International Journal

Classifying Arc-Transitive Circulants

Journal of Algebraic Combinatorics: An International Journal
Permutation Groups with a Cyclic Regular Subgroup and Arc Transitive Circulants

Journal of Algebraic Combinatorics: An International Journal

Quantified Score

Hi-index	0.00

Visualization

Abstract

A icirculant is a Cayley graph of a cyclic group. Arc-transitive circulants of square-free order are classified. It is shown that an arc-transitive circulant Γ of square-free order in is one of the following: the lexicographic product \Sigma[\bar{K}_b], or the deleted lexicographic \Sigma[\bar{K}_b]-b \Sigma, where in = ibm and Σ is an arc-transitive circulant, or Γ is a inormal circulant, that is, Aut Γ has a normal regular cyclic subgroup.