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Growth of Certain Non-positively Curved Cube Groups

✍ Scribed by Gen.A. Noskov

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
120 KB
Volume
21
Category
Article
ISSN
0195-6698

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✦ Synopsis

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 rational.

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