Counting commutativities in finite algebraic systems

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dc.contributor.authorDolan, Brian
dc.contributor.authorMacHale, Desmond
dc.contributor.authorMacHale, Peter
dc.date.accessioned2020-01-31T10:30:06Z
dc.date.available2020-01-31T10:30:06Z
dc.date.issued2016
dc.date.updated2020-01-31T10:25:30Z
dc.description.abstractWe examine the total possible number of commutativities in a finite algebraic system, concentrating on groups, but also examining rings and semigroups. Numerical restrictions are found and bounds for the total number of commutativities in subgroups and factor groups are derived. Finally, a curious connection with group representations is explored.en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationDolan, B., MacHale, D. and MacHale, P. (2016) 'Counting Commutativities in Finite Algebraic Systems', Bulletin of the Irish Mathematical Society, 77, pp. 61-70.en
dc.identifier.endpage70en
dc.identifier.issn0791-5578
dc.identifier.issued77en
dc.identifier.journaltitleBulletin of the Irish Mathematical Societyen
dc.identifier.startpage61en
dc.identifier.urihttps://hdl.handle.net/10468/9600
dc.language.isoenen
dc.publisherIrish Mathematical Societyen
dc.relation.urihttp://banach.ucd.ie/bull77/index.php
dc.rights© 2016 Irish Mathematical Societyen
dc.subjectCommutative algebraen
dc.subjectSemigroups (Algebra)en
dc.subjectRing theoryen
dc.subjectCommutativitiesen
dc.subjectGroupsen
dc.titleCounting commutativities in finite algebraic systemsen
dc.typeArticle (peer-reviewed)en
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