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

Lluís Bacardit

doi:10.1515/gcc-2015-0011

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

Lluís Bacardit

Research output: Contribution to journal › Article › Research › peer-review

Abstract

© 2015 by De Gruyter 2015. We give an algorithm which computes a presentation for a subgroup, denoted AMg,p,1, of the automorphism group of a free group. It is known that AMg,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.

Original language	English
Pages (from-to)	95-115
Journal	Groups, Complexity, Cryptology
Volume	7
Issue number	2
DOIs	https://doi.org/10.1515/gcc-2015-0011
Publication status	Published - 1 Jan 2015

Keywords

Auter space
automorphism groups
Mapping class groups
presentations

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10.1515/gcc-2015-0011

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title = "A combinatorial algorithm to compute presentations of mapping class groups of orientable surfaces with one boundary component",

abstract = "{\textcopyright} 2015 by De Gruyter 2015. We give an algorithm which computes a presentation for a subgroup, denoted AMg,p,1, of the automorphism group of a free group. It is known that AMg,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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year = "2015",

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AB - © 2015 by De Gruyter 2015. We give an algorithm which computes a presentation for a subgroup, denoted AMg,p,1, of the automorphism group of a free group. It is known that AMg,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.

KW - Auter space

KW - automorphism groups

KW - Mapping class groups

KW - presentations

U2 - 10.1515/gcc-2015-0011

DO - 10.1515/gcc-2015-0011

M3 - Article

SN - 1867-1144

VL - 7

SP - 95

EP - 115

JO - Groups, Complexity, Cryptology

JF - Groups, Complexity, Cryptology

IS - 2

ER -

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

Abstract

Keywords

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