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

Lluís Bacardit (2010)

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

arXiv:1101.0233.

We give an algorithm which computes a presentation for a subgroup, denoted \$AM\_\ɡ,1,p\\$, of the automorphism group of a free group. It is known that \$AM\_\ɡ,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.

Mathematics - Group Theory

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