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

Lluís Bacardit

    Research output: Contribution to journalArticleResearchpeer-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 languageEnglish
    Pages (from-to)95-115
    JournalGroups, Complexity, Cryptology
    Volume7
    Issue number2
    DOIs
    Publication statusPublished - 1 Jan 2015

    Keywords

    • Auter space
    • automorphism groups
    • Mapping class groups
    • presentations

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