Transitive representations of inverse semigroups

2014/07/08 by Schein, Boris M.
#20M18 #20M30 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1407.2198

Abstract

While every group is isomorphic to a transitive group of permutations, the analogous property fails for inverse semigroups: not all inverse semigroups are isomorphic to transitive inverse semigroups of one-to-one partial transformations of a set. We describe those inverse semigroups that are.

Related

• Introduction to inverse semigroups
• Primer on inverse semigroups II
• Primer on inverse semigroups I
• The Reverse Representation Problem
• Homogeneity of Inverse Semigroups