Monoids of injective maps closed under conjugation by permutations
Group Theory
2012-07-12 v1
Abstract
Let X be a countably infinite set, Inj(X) the monoid of all injective endomaps of X, and Sym(X) the group of all permutations of X. We classify all submonoids of Inj(X) that are closed under conjugation by elements of Sym(X).
Cite
@article{arxiv.1008.1443,
title = {Monoids of injective maps closed under conjugation by permutations},
author = {Zachary Mesyan},
journal= {arXiv preprint arXiv:1008.1443},
year = {2012}
}
Comments
15 pages