A SVARC-MILNOR LEMMA FOR MONOIDS ACTING BY ISOMETRIC EMBEDDINGS

作者:Gray Robert*; Kambites Mark
来源:International Journal of Algebra and Computation, 2011, 21(7): 1135-1147.
DOI:10.1142/S021819671100687X

摘要

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.

  • 出版日期2011-11