Genus n forms over Hyperbolic groups

Details Genus n forms over Hyperbolic groups Genus n forms over Hyperbolic groups

2010-05-10

arxiv.org/abs/1005.1513v1

Mathematics

Group Theory

44 pages, 42 figures

Scientific paper

In 1962 M.J.Wicks gave a list of forms for commutators in both free groups and free products. Since then similar lists have been constructed for elements of higher genus. A. Vdovina has described a method for the construction of forms for elements of any genus in free products. We give a similar result for the construction of such forms in any hyperbolic group H and from this we obtain a full list of forms for commutators in H.

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