Growth of Certain Non-positively Curved Cube Groups

  title={Growth of Certain Non-positively Curved Cube Groups},
  author={Gennady A. Noskov},
  journal={Eur. J. Comb.},
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 setA 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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