Maximal subgroups of free idempotent-generated semigroups over the full transformation monoid
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.
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 . https://doi.org/10.1112/plms/pdr054
Publication
Proceedings of the London Mathematical Society
Status
Peer reviewed
ISSN
0024-6115Type
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
Collections
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.