Semiregular automorphisms of cubic vertex-transitive graphs and the abelian normal quotient method

Verret, Gabriel; Spiga, P; Morris, J

dc.contributor.author	Verret, Gabriel	en
dc.contributor.author	Spiga, P	en
dc.contributor.author	Morris, J	en
dc.date.accessioned	2017-05-18T02:46:51Z	en
dc.date.issued	2015	en
dc.identifier.citation	The Electronic Journal of Combinatorics 22(3):12 pages Article number P3.32 2015	en
dc.identifier.issn	1077-8926	en
dc.identifier.uri	http://hdl.handle.net/2292/32934	en
dc.description.abstract	We characterise connected cubic graphs admitting a vertex-transitive group of automorphisms with an abelian normal subgroup that is not semiregular. We illustrate the utility of this result by using it to prove that the order of a semiregular subgroup of maximum order in a vertex-transitive group of automorphisms of a connected cubic graph grows with the order of the graph.	en
dc.publisher	The Electronic Journal of Combinatorics	en
dc.relation.ispartofseries	The Electronic Journal of Combinatorics	en
dc.rights	Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from http://www.sherpa.ac.uk/romeo/issn/1077-8926/	en
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm	en
dc.title	Semiregular automorphisms of cubic vertex-transitive graphs and the abelian normal quotient method	en
dc.type	Journal Article	en
pubs.issue	3	en
pubs.volume	22	en
dc.description.version	VoR - Version of Record	en
dc.rights.holder	Copyright: The author	en
dc.rights.accessrights	http://purl.org/eprint/accessRights/OpenAccess	en
pubs.subtype	Article	en
pubs.elements-id	609606	en
pubs.org-id	Science	en
pubs.org-id	Mathematics	en
pubs.number	P3.32	en
pubs.record-created-at-source-date	2017-01-25	en
pubs.online-publication-date	2015-09-11	en