On cosets in Coxeter groups

Authors

SARAH B. HART
PETER J. ROWLEY

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.

DOI

10.3906/mat-0909-65

Keywords

Coxeter group, Bruhat order, cosets, partially ordered sets

First Page

77

Last Page

93

Recommended Citation

HART, SARAH B. and ROWLEY, PETER J. (2012) "On cosets in Coxeter groups," Turkish Journal of Mathematics: Vol. 36: No. 1, Article 7. https://doi.org/10.3906/mat-0909-65
Available at: https://journals.tubitak.gov.tr/math/vol36/iss1/7