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A Wilson group of non-uniformly exponential growth

✍ Scribed by Laurent Bartholdi

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 147 KB
Volume: 336
Category: Article
ISSN: 1631-073X
DOI: 10.1016/s1631-073x(03)00131-6

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We prove that if G is a group acting cellularly on a locally finite CAT(0) cube complex X and the action is simply transitive on the vertices of X , then G has a generating set A so that the geodesic words in generators A form a regular language and the growth function of G with respect to A is rati