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dc.contributor.authorCarvalho, C.A.
dc.contributor.authorGray, R
dc.contributor.authorRuskuc, Nik
dc.date.accessioned2011-09-02T14:57:54Z
dc.date.available2011-09-02T14:57:54Z
dc.date.issued2011-06-01
dc.identifier.citationCarvalho , C A , Gray , R & Ruskuc , N 2011 , ' Presentations of inverse semigroups, their kernels and extensions ' , Journal of the Australian Mathematical Society , vol. 90 , no. 3 , pp. 289-316 . https://doi.org/10.1017/S1446788711001297en
dc.identifier.issn1446-7887
dc.identifier.otherPURE: 5160166
dc.identifier.otherPURE UUID: f4d51f78-f930-4cb9-b02d-1eb994b2bfa4
dc.identifier.otherScopus: 84856402640
dc.identifier.otherORCID: /0000-0003-2415-9334/work/73702058
dc.identifier.urihttp://hdl.handle.net/10023/1998
dc.description"Part of this work was done while Gray was an EPSRC Postdoctoral Research Fellow at the University of St Andrews, Scotland"en
dc.description.abstractLet S be an inverse semigroup and let π:S→T be a surjective homomorphism with kernel K. We show how to obtain a presentation for K from a presentation for S, and vice versa. We then investigate the relationship between the properties of S, K and T, focusing mainly on finiteness conditions. In particular we consider finite presentability, solubility of the word problem, residual finiteness, and the homological finiteness property FPn. Our results extend several classical results from combinatorial group theory concerning group extensions to inverse semigroups. Examples are also provided that highlight the differences with the special case of groups.
dc.language.isoeng
dc.relation.ispartofJournal of the Australian Mathematical Societyen
dc.rightsThis is an author version of the article. The published version copyright (c) Australian Mathematical Publishing Association Inc. 2011 is available from http://journals.cambridge.orgen
dc.subjectInverse semigroup presentationsen
dc.subjectReidemeister-Schreieren
dc.subjectKernelen
dc.subjectFiniteness conditionsen
dc.subjectQA Mathematicsen
dc.subject.lccQAen
dc.titlePresentations of inverse semigroups, their kernels and extensionsen
dc.typeJournal articleen
dc.description.versionPreprinten
dc.contributor.institutionUniversity of St Andrews.Pure Mathematicsen
dc.contributor.institutionUniversity of St Andrews.Centre for Interdisciplinary Research in Computational Algebraen
dc.identifier.doihttps://doi.org/10.1017/S1446788711001297
dc.description.statusPeer revieweden


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