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| Title: | Maximal subgroups of free idempotent-generated semigroups over the full transformation monoid |
| Authors: | Gray, R
Ruskuc, Nikola |
| 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: | University of St Andrews Research
Pure Mathematics Research
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