18 citations · 18 across the 2 of their papers we have counts for
3 papers
math.CO2005
Shellability of noncrossing partition lattices
Christos A. Athanasiadis, Thomas Brady, Colum Watt
We give a case-free proof that the lattice of noncrossing partitions associated to any finite real reflection group is EL-shellable. Shellability of these lattices was open for the…
math.CO2005★ 18 cited
Lattices in finite real reflection groups
Thomas Brady, Colum Watt
For a finite real reflection group with Coxeter element we give a uniform proof that the closed interval, forms a lattice in the partial order on induced by re…
math.GR1998
Three-generator Artin groups of large type are biautomatic
Thomas Brady, Jonathan P. McCammond
In this article we construct a piecewise Euclidean, non-positively curved 2-complex for the 3-generator Artin groups of large type. As a consequence we show that these groups are b…