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

2010/12/31 by Lluís Bacardit, Bacardit, Lluís
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1101.0233

arxiv created 2010/12/31 · arxiv updated 2011/01/04

Abstract

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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