Transitive representations of inverse semigroups
Group Theory
2014-07-09 v1
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.
Cite
@article{arxiv.1407.2198,
title = {Transitive representations of inverse semigroups},
author = {Boris M. Schein},
journal= {arXiv preprint arXiv:1407.2198},
year = {2014}
}
Comments
This paper was the subject of several talks at international conferences, colloquia and seminars at a few universities in different countries. However, its text has never appeared in print (except for copies sent to some interested persons). I place it on the arXiv because of recent renewed interest in its main result