BIROn - Birkbeck Institutional Research Online

    Symmetric Presentations of Coxeter Groups

    Fairbairn, Ben (2011) Symmetric Presentations of Coxeter Groups. Proceedings of the Edinburgh Mathematical Society 54 (3), pp. 669-683. ISSN 0013-0915.

    [img]
    Preview
    Text
    ems09038-pp669-683.pdf - Published Version of Record

    Download (197kB) | Preview

    Abstract

    We apply the techniques of symmetric generation to establish the standard presentations of the finite simply laced irreducible finite Coxeter groups, that is, the Coxeter groups of types An, Dn and En, and show that these are naturally arrived at purely through consideration of certain natural actions of symmetric groups. We go on to use these techniques to provide explicit representations of these groups.

    Metadata

    Item Type: Article
    Keyword(s) / Subject(s): symmetric generation, Coxeter group
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Ben Fairbairn
    Date Deposited: 25 Jan 2013 10:12
    Last Modified: 09 Aug 2023 12:32
    URI: https://eprints.bbk.ac.uk/id/eprint/5431

    Statistics

    Activity Overview
    6 month trend
    433Downloads
    6 month trend
    225Hits

    Additional statistics are available via IRStats2.

    Archive Staff Only (login required)

    Edit/View Item Edit/View Item