%0 Generic %1 Bacardit2010 %A Bacardit, Lluís %D 2010 %K algorithm combinatorial compute mapping presentations %T A combinatorial algorithm to compute presentations of mapping-class groups of orientable surfaces with one boundary component %U http://arxiv.org/abs/1101.0233 %X 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.

@misc{Bacardit2010, 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. }, added-at = {2011-01-04T18:14:33.000+0100}, author = {Bacardit, Lluís}, biburl = {https://www.bibsonomy.org/bibtex/2a96f4a716f23070d4724907ea5d85c56/uludag}, description = {A combinatorial algorithm to compute presentations of mapping-class groups of orientable surfaces with one boundary component}, interhash = {37cea49a728cdce1df12293aa1b64d0d}, intrahash = {a96f4a716f23070d4724907ea5d85c56}, keywords = {algorithm combinatorial compute mapping presentations}, note = {cite arxiv:1101.0233 }, timestamp = {2011-01-04T18:14:33.000+0100}, title = {A combinatorial algorithm to compute presentations of mapping-class groups of orientable surfaces with one boundary component}, url = {http://arxiv.org/abs/1101.0233}, year = 2010 }