Ends for subsemigroups of finite index
Group Theory
2013-11-12 v2
Abstract
In this paper we study ends of finitely generated semigroups. The ends we are working with are the ends of the undirected graphs of Cayley graphs of finitely generated semigroups. We prove that the number of ends is preserved for subsemigroups of finite Rees index, and prove the same result for finite Green index subsemigroups of cancellative semigroups.
Keywords
Cite
@article{arxiv.1302.3500,
title = {Ends for subsemigroups of finite index},
author = {Vesna Kilibarda and Victor Maltcev and Simon Craik},
journal= {arXiv preprint arXiv:1302.3500},
year = {2013}
}
Comments
This paper though correct shows that ends of semigroups in fact is not so natural to study -- nothing crucial like analogue of Stallings theorem perhaps would exist etc