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Maximal subgroups of free idempotent-generated semigroups over the full transformation monoid

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dc.contributor.authorGray, R
dc.contributor.authorRuskuc, Nik
dc.date.accessioned2011-12-23T12:08:38Z
dc.date.available2011-12-23T12:08:38Z
dc.date.issued2012-05
dc.identifier.citationGray , R & Ruskuc , N 2012 , ' Maximal subgroups of free idempotent-generated semigroups over the full transformation monoid ' , Proceedings of the London Mathematical Society , vol. 104 , no. 5 , pp. 997-1018 . https://doi.org/10.1112/plms/pdr054en
dc.identifier.issn0024-6115
dc.identifier.otherPURE: 5158076
dc.identifier.otherPURE UUID: 76383dbd-5a1c-45c3-a670-3a6e40181963
dc.identifier.otherScopus: 84861090757
dc.identifier.otherORCID: /0000-0003-2415-9334/work/73702021
dc.identifier.urihttps://hdl.handle.net/10023/2134
dc.description.abstractLet Tn be the full transformation semigroup of all mappings from the set {1, . . . , n} to itself under composition. Let E = E(Tn) denote the set of idempotents of Tn and let e ∈ E be an arbitrary idempotent satisfying |im (e)| = r ≤ n − 2. We prove that the maximal subgroup of the free idempotent generated semigroup over E containing e is isomorphic to the symmetric group Sr.
dc.format.extent28
dc.language.isoeng
dc.relation.ispartofProceedings of the London Mathematical Societyen
dc.rightsThis is an author version of this article. The definitive version is published in Proceedings of the London Mathematical Society, © 2012 London Mathematical Societyen
dc.subjectQA Mathematicsen
dc.subject.lccQAen
dc.titleMaximal subgroups of free idempotent-generated semigroups over the full transformation monoiden
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
dc.contributor.sponsorEPSRCen
dc.description.versionPostprinten
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.contributor.institutionUniversity of St Andrews. School of Mathematics and Statisticsen
dc.contributor.institutionUniversity of St Andrews. Centre for Interdisciplinary Research in Computational Algebraen
dc.identifier.doihttps://doi.org/10.1112/plms/pdr054
dc.description.statusPeer revieweden
dc.identifier.grantnumberEP/I032282/1en
dc.identifier.grantnumberEP/E043194/1en


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