A Svarc-Milnor lemma for monoids acting by isometric embeddings

Details A Svarc-Milnor lemma for monoids acting by isometric embeddings A Svarc-Milnor lemma for monoids acting by isometric embeddings

2010-04-30

arxiv.org/abs/1004.5498v1

Mathematics

Group Theory

11 pages

Scientific paper

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.

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