Finite edge-transitive dihedrant graphs |
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| Authors: | Jiangmin Pan Xue Yu Hua Zhang Zhaohong Huang |
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| Institution: | 1. School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650091, PR China;2. School of Mathematics and Statistics, The University of Western Australia, Crawley 6009 WA, Australia |
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| 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. |
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