Characterising CCA Sylow cyclic groups whose order is not divisible by four

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dc.contributor.authorMorgan, Luke
dc.contributor.authorMorris, Joy
dc.contributor.authorVerret, Gabriel
dc.date.accessioned2018-07-06T20:44:23Z
dc.date.available2018-07-06T20:44:23Z
dc.date.issued2018
dc.descriptionOpen access, licensed under Creative Commonsen_US
dc.description.abstractA Cayley graph on a group G has a natural edge-colouring. We say that such a graph is CCA if every automorphism of the graph that preserves this edge-colouring is an element of the normaliser of the regular representation of G. A group G is then said to be CCA if every connected Cayley graph on G is CCA. Our main result is a characterisation of non-CCA graphs on groups that are Sylow cyclic and whose order is not divisible by four. We also provide several new constructions of non-CCA graphs.en_US
dc.description.peer-reviewYesen_US
dc.identifier.citationMorgan, L., Morris, J., & Verret, G. (2018). Characterising CCA Sylow cyclic groups whose order is not divisible by four. Ars Mathematica Contemporanea, 14, 83-95en_US
dc.identifier.urihttps://hdl.handle.net/10133/5158
dc.language.isoen_USen_US
dc.publisherDrustvo Matematikov, Fizikov in Astronomoven_US
dc.publisher.departmentDepartment of Mathematics and Computer Scienceen_US
dc.publisher.facultyArts and Scienceen_US
dc.publisher.institutionUniversity of Western Australiaen_US
dc.publisher.institutionUniversity of Lethbridgeen_US
dc.subjectCCA problemen_US
dc.subjectCaleyen_US
dc.subjectEdge-colouringen_US
dc.subjectSylow cyclic groupsen_US
dc.subject.lcshCaley graphs
dc.subject.lcshAutomorphisms
dc.subject.lcshGroup theory
dc.subject.lcshGraph theory
dc.titleCharacterising CCA Sylow cyclic groups whose order is not divisible by fouren_US
dc.typeArticleen_US
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