A Svarc-Milnor lemma for monoids acting by isometric embeddings
Group Theory
2015-03-17 v1
Abstract
We continue our programme of extending key techniques from geometric group theory to semigroup theory, by studying monoids acting by isometric embeddings on spaces equipped with asymmetric, partially-defined distance functions. The canonical example of such an action is a cancellative monoid acting by translation on its Cayley graph. Our main result is an extension of the Svarc-Milnor Lemma to this setting.
Cite
@article{arxiv.1004.5498,
title = {A Svarc-Milnor lemma for monoids acting by isometric embeddings},
author = {Robert Gray and Mark Kambites},
journal= {arXiv preprint arXiv:1004.5498},
year = {2015}
}
Comments
11 pages