Turkish Journal of Mathematics
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, S. B, & ROWLEY, P. J (2012). On cosets in Coxeter groups. Turkish Journal of Mathematics 36 (1): 77-93. https://doi.org/10.3906/mat-0909-65
