Gabriel Feinberg, Sungsoon Kim, Kyu-Hwan Lee, Se-jin Oh
Published 2018-08-13Version 1
We extend the usual notion of fully commutative elements from the Coxeter groups to the complex reflection groups. Then we decompose the sets of fully commutative elements into natural subsets according to their combinatorial properties, and investigate the structure of these decompositions. As a consequence, we enumerate and describe the form of these elements in the complex reflection groups.
Rotation groups, mediangle graphs, and periagroups: a unified point of view on Coxeter groups and graph products of groups
On the fully commutative elements of type $\tilde C$ and faithfullness of related towers
Geodesic growth in right-angled and even Coxeter groups
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