Götz Pfeiffer and Gerhard Röhrle,
# Distributive Coset Graphs of Finite Coxeter Groups.

*J. Group Theory* **6** (2003), 311-320.

## Abstract.

Let $W$ be a finite Coxeter group, $W$_{J}
a parabolic subgroup of $W$ and
$X$_{J} the set of distinguished coset representatives of
$W$_{J} in $W$ equipped with the induced weak Bruhat ordering of $W$.
All instances when $X$_{J} is a distributive lattice are known.
In this note we present a new short conceptual proof of this result.
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