Partial transformation monoids preserving a uniform partition
Group Theory
2012-10-18 v1
Abstract
The objective of this paper is to study the monoid of all partial transformations of a finite set that preserve a uniform partition. In addition to proving that this monoid is a quotient of a wreath product with respect to a congruence relation, we show that it is generated by 5 generators, we compute its order and determine a presentation on a minimal generating set.
Keywords
Cite
@article{arxiv.1210.4775,
title = {Partial transformation monoids preserving a uniform partition},
author = {Serena Cicalo and Vitor H. Fernandes and Csaba Schneider},
journal= {arXiv preprint arXiv:1210.4775},
year = {2012}
}