A combinatorial algorithm to compute presentations of mapping-class groups of orientable surfaces with one boundary component
Abstract
We give an algorithm which computes a presentation for a subgroup, denoted g,1,p, of the automorphism group of a free group. It is known that g,1,p is isomorphic to the mapping-class group of an orientable genus-g surface with one boundary component and p punctures. We define a variation of Auter space.
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