Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Semiregular automorphisms of cubic vertex transitive graphs

Author(s): Cai Heng Li
Journal: Proc. Amer. Math. Soc. 136 (2008), 1905-1910.
MSC (2000): Primary 05C25
Posted: February 14, 2008
MathSciNet review: 2383495
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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).

References:

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3.: P. Cameron, J. Sheehan and P. Spiga, Semiregular automorphisms of vertex-transitive cubic graphs, European J. Combin. 27 (2006), 924-930. MR 2226427 (2006m:05107)
4.: X. G. Fang, C. H. Li, and C. E. Praeger, The locally 2-arc-transitive graphs admitting a Ree simple group, J. Algebra 282 (2004), 638-666. MR 2101079 (2005j:05043)
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Additional Information:

Cai Heng Li
Affiliation: 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
Email: li@maths.uwa.edu.au

DOI: 10.1090/S0002-9939-08-09217-4
PII: S 0002-9939(08)09217-4
Received by editor(s): September 5, 2005,
Received by editor(s) in revised form: June 1, 2006, and September 7, 2006
Posted: February 14, 2008
Additional Notes: This work was partially supported by an ARC Discovery Project Grant. The author is grateful to the referee for the constructive comments.
Communicated by: John R. Stembridge
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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