Maximal subgroups of free idempotent generated semigroups over the full transformation monoid
arXiv:1101.1833 · doi:10.1112/plms/pdr054
Abstract
Let T_n be the full transformation semigroup of all mappings from the set {1,...,n} to itself under composition. Let E = E(T_n) denote the set of idempotents of T_n and let e be an arbitrary idempotent satisfying |im(e)|=r < n-1. We prove that the maximal subgroup of the free idempotent generated semigroup over E containing e is isomorphic to the symmetric group S_r.
28 pages
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Cited by in corpus (16)
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