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Semiregular automorphisms of cubic vertex transitive graphs

Authors:	Cai Heng Li

Institution:	Department of Mathematics, Yunnan University, Kunming 650031, People's Republic of China; and School of Mathematics and Statistics, The University of Western Australia, Crawley 6009, WA, Australia

Abstract:	It is shown that for a connected cubic graph $\mathit{\Gamma}$ , a vertex transitive group $G\le{\sf {Aut}}\,{\mathit{\Gamma}}$ contains a large semiregular subgroup. This confirms a conjecture of Cameron and Sheehan (2001).

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