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The spectrum for quasigroups with cyclic automorphisms and additional symmetries

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dc.contributor.authorBryant, Darryn
dc.contributor.authorBuchanan, Melinda
dc.contributor.authorWanless, Ian
dc.date.accessioned2015-12-07T22:23:48Z
dc.date.issued2009
dc.date.updated2016-02-24T11:20:32Z
dc.description.abstractWe determine necessary and sufficient conditions for the existence of a quasigroup of order n having an automorphism consisting of a single cycle of length m and n - m fixed points, and having any combination of the additional properties of being idempotent, unipotent, commutative, semi-symmetric or totally symmetric. Quasigroups with such additional properties and symmetries are equivalent to various classes of triple systems.
dc.identifier.issn0012-365X
dc.identifier.urihttp://hdl.handle.net/1885/20873
dc.publisherElsevier
dc.sourceDiscrete Mathematics
dc.subjectKeywords: System theory; Diagonally cyclic; Latin square; Mendelsohn triple system; Quasigroup; Semi-symmetric; Steiner triple system; Totally symmetric; Equivalence classes Diagonally cyclic; Latin square; Mendelsohn triple system; Quasigroup; Semi-symmetric; Steiner triple system; Totally symmetric
dc.titleThe spectrum for quasigroups with cyclic automorphisms and additional symmetries
dc.typeJournal article
local.bibliographicCitation.issue4
local.bibliographicCitation.lastpage833
local.bibliographicCitation.startpage821
local.contributor.affiliationBryant, Darryn, University of Queensland
local.contributor.affiliationBuchanan, Melinda, University of Queensland
local.contributor.affiliationWanless, Ian, College of Engineering and Computer Science, ANU
local.contributor.authoruidWanless, Ian, u3488323
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010104 - Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
local.identifier.ariespublicationu4708487xPUB14
local.identifier.citationvolume309
local.identifier.doi10.1016/j.disc.2008.01.020
local.identifier.scopusID2-s2.0-60149098156
local.identifier.thomsonID000264620200021
local.type.statusPublished Version

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