Title of article :
On cosets in Coxeter groups
Author/Authors :
Hart, Sarah B. University of London - Department of Economics Mathematics Statistics Birkbeck, England , Rowley, Peter J. University of Manchester - School of Mathematics, England
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
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
