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dc.contributor.authorCarvalho, Catarina
dc.contributor.authorGray, Robert
dc.contributor.authorRuskuc, Nik
dc.identifier.citationCarvalho , C , 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 .
dc.identifier.otherPURE: 777638
dc.identifier.otherPURE UUID: cdbb17c5-f324-433c-a1ef-8386e61a9783
dc.identifier.otherScopus: 84856402640
dc.identifier.otherORCID: /0000-0002-4648-7016/work/62748316
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.en
dc.relation.ispartofJournal of the Australian Mathematical Society
dc.titlePresentations of Inverse Semigroups their Kernels and Extensionsen
dc.contributor.institutionSchool of Physics, Astronomy and Mathematics
dc.contributor.institutionScience & Technology Research Institute
dc.description.statusPeer reviewed
rioxxterms.typeJournal Article/Review

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