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    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.

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    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.


    Item Type: Article
    Keyword(s) / Subject(s): symmetric generation, Coxeter group
    School: School of Business, Economics & Informatics > Economics, Mathematics and Statistics
    Depositing User: Ben Fairbairn
    Date Deposited: 25 Jan 2013 10:12
    Last Modified: 09 Jun 2021 15:03


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