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    X-posets of certain Coxeter groups

    Hart, Sarah and Rowley, P.J. (2013) X-posets of certain Coxeter groups. Taiwanese Journal of Mathematics 17 (6), pp. 1901-1919. ISSN 1027-5487.

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    Let X be a subgroup of a Coxeter group W. In the paper "On Cosets in Coxeter Groups" Turk. J. Math. 36(2012),77 -- 93, the authors developed the notion of X-posets, which are defined on certain equivalence classes of the (right) cosets of X in W. These posets can be thought of as a generalization of the well-known Bruhat order of W. This article provides a catalogue of all the X-posets for various small Coxeter groups.


    Item Type: Article
    Keyword(s) / Subject(s): Coxeter group, Cosets, Bruhat order, Partially ordered set.
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Sarah Hart
    Date Deposited: 12 Jan 2015 08:27
    Last Modified: 09 Aug 2023 12:36


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