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...
Bacardit, Lluís
2015-11-01 00:00:00
Abstract We give an algorithm which computes a presentation for a subgroup, denoted 𝒜ℳ g , p , 1 ${\mathcal {AM}_{g,p,1}}$ , of the automorphism group of a free group. It is known that 𝒜ℳ g , p , 1 ${\mathcal {AM}_{g,p,1}}$ is isomorphic to the mapping class group of an orientable genus- g surface with p punctures and one boundary component. We define a variation of the Auter space.
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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 𝒜ℳ g , p , 1 ${\mathcal {AM}_{g,p,1}}$ , of the automorphism group of a free group. It is known that 𝒜ℳ g , p , 1 ${\mathcal {AM}_{g,p,1}}$ is isomorphic to the mapping class group of an orientable genus- g surface with p punctures and one boundary component. We define a variation of the Auter space.
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