A combinatorial algorithm to compute presentations of mapping-class groups of orientable surfaces with one boundary component

Details A combinatorial algorithm to compute presentations of mapping-class groups of orientable surfaces with one boundary component A combinatorial algorithm to compute presentations of mapping-class groups of orientable surfaces with one boundary component

2010-12-31

arxiv.org/abs/1101.0233v1

Mathematics

Group Theory

Scientific paper

We give an algorithm which computes a presentation for a subgroup, denoted
$\AM_{g,1,p}$, of the automorphism group of a free group. It is known that
$\AM_{g,1,p}$ 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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