A SVARC-MILNOR LEMMA FOR MONOIDS ACTING BY ISOMETRIC EMBEDDINGS

Robert Gray; Mark Kambites

doi:10.1142/S021819671100687X

A SVARC-MILNOR LEMMA FOR MONOIDS ACTING BY ISOMETRIC EMBEDDINGS

Robert Gray^*, Mark Kambites

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We continue our program 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.

Original language	English
Pages (from-to)	1135-1147
Number of pages	13
Journal	International Journal of Algebra and Computation
Volume	21
Issue number	7
DOIs	https://doi.org/10.1142/S021819671100687X
Publication status	Published - Nov 2011

Keywords

Monoid
cancellative monoid
finitely generated
action
semimetric space
SEMIGROUPS

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10.1142/S021819671100687X

Finiteness Conditions and Index: Finiteness Conditions and Index in Semigroups and Monoids
Gray, R. D. (PI)
EPSRC
1/02/08 → 31/01/11
Project: Standard

Cite this

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abstract = "We continue our program 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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author = "Robert Gray and Mark Kambites",

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N2 - We continue our program 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.

AB - We continue our program 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.

KW - Monoid

KW - cancellative monoid

KW - finitely generated

KW - action

KW - semimetric space

KW - SEMIGROUPS

U2 - 10.1142/S021819671100687X

DO - 10.1142/S021819671100687X

M3 - Article

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VL - 21

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EP - 1147

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

IS - 7

ER -

A SVARC-MILNOR LEMMA FOR MONOIDS ACTING BY ISOMETRIC EMBEDDINGS

Abstract

Keywords

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Projects

Finiteness Conditions and Index: Finiteness Conditions and Index in Semigroups and Monoids

Cite this