Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4648217 | Discrete Mathematics | 2012 | 7 Pages |
Abstract
In this paper, we first prove that each biquasiprimitive permutation group containing a regular dihedral subgroup is biprimitive, and then give a classification of such groups. The classification is then used to classify vertex-quasiprimitive and vertex-biquasiprimitive edge-transitive dihedrants. Moreover, a characterization of valencies of normal edge-transitive dihedrants is obtained, and some classes of examples with certain valences are constructed.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Jiangmin Pan, Xue Yu, Hua Zhang, Zhaohong Huang,