Computation in word-hyperbolic groups

Details Computation in word-hyperbolic groups Computation in word-hyperbolic groups

1998-11-03

arxiv.org/abs/math/9811012v1

Mathematics

Group Theory

23 pages, 7 figures, 2 tables

Scientific paper

We describe a procedure which verifies that a group given by generators and relators is word-hyperbolic. This procedure always works with a group which is word-hyperbolic, provided there is sufficient memory and time devoted to the problem. If the group is not word-hyperbolic, the procedure continues indefinitely. We also describe a procedure which computes the thinness of geodesic triangles in the Cayley graph of a word-hyperbolic group. Again this procedure is bound to work, given sufficient memory and time.

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