Turkish Journal of Mathematics
In this paper the notion of Coxeter length for a subset of a Coxeter group, as introduced in , 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.
Coxeter group, Bruhat order, cosets, partially ordered sets
HART, SARAH B. and ROWLEY, PETER J.
"On cosets in Coxeter groups,"
Turkish Journal of Mathematics: Vol. 36:
1, Article 7.
Available at: https://journals.tubitak.gov.tr/math/vol36/iss1/7