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Please use this identifier to cite or link to this item: http://hdl.handle.net/10023/2134
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Title: Maximal subgroups of free idempotent-generated semigroups over the full transformation monoid
Authors: Gray, R
Ruskuc, Nik
Keywords: QA Mathematics
Issue Date: 2012
Citation: Gray , 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 .
Abstract: Let 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.
Version: Postprint
Postprint
Status: Peer reviewed
URI: http://hdl.handle.net/10023/2134
DOI: http://dx.doi.org/10.1112/plms/pdr054
ISSN: 0024-6115
Type: Journal article
Rights: This is an author version of this article. The definitive version is published in Proceedings of the London Mathematical Society, © 2012 London Mathematical Society
Appears in Collections:Mathematics & Statistics Research
University of St Andrews Research
Pure Mathematics Research



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