Projects per year
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 ∈ 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 S_{r}.
Original language  English 

Pages (fromto)  9971018 
Number of pages  28 
Journal  Proceedings of the London Mathematical Society 
Volume  104 
Issue number  5 
Early online date  24 Jan 2012 
DOIs  
Publication status  Published  May 2012 
Fingerprint
Dive into the research topics of 'Maximal subgroups of free idempotentgenerated semigroups over the full transformation monoid'. Together they form a unique fingerprint.Projects
 2 Finished


Finiteness Conditions and Index: Finiteness Conditions and Index in Semigroups and Monoids
Gray, R. D.
1/02/08 → 31/01/11
Project: Standard