On cosets in Coxeter groups
Authors : Sarah B. Hart
Pages : 77-93
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this paper the notion of Coxeter length for a subset of a Coxeter group, as introduced in [9], is investigated for various subsets of a Coxeter group. Mostly cosets of various subgroups are examined as well as the associated idea of X-posets, which is a vast generalization of the Bruhat order.Keywords : Coxeter group, Bruhat order, cosets, partially ordered sets