Geodesic
Permutation groups with a cyclic regular subgroup and arc transitive circulants.
Journal of Algebraic Combinatorics, Tome 21 (2005) no. 2, pp. 131-136.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A description is given of finite permutation groups containing a cyclic regular subgroup. It is then applied to derive a classification of arc transitive circulants, completing the work dating from 1970 S[[ `$( K)] _{ b}] \Sigma [{\bar K}$_b] , a deleted lexicographic product S[[ `$( K)] _{ b}] - b$ S $\Sigma [{\bar K}$_b] - b$\Sigma $, where $Sgr$ is a smaller arc transitive circulant, or $Gamma$ is a normal circulant, that is, Auta $Gamma$ has a normal cyclic regular subgroup. The description of this class of permutation groups is also used to describe the class of rotary Cayley maps in subsequent work.
Classification : 20B15,, 20B30,, 05C25
Keywords: keywords cyclic regular subgroup, arc transitive circulant 
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Li, Cai Heng. Permutation groups with a cyclic regular subgroup and arc transitive circulants.. Journal of Algebraic Combinatorics, Tome 21 (2005) no. 2, pp. 131-136. http://geodesic.mathdoc.fr/item/JAC_2005__21_2_a5/