32 citations · 93 across the 27 of their papers we have counts for
3 papers · 2 filters
Distances between fixed-point sets in 2-dimensional Euclidean buildings are realised
Harris Leung, Jeroen Schillewaert, Anne Thomas
We prove that if two finitely generated groups act on a metrically complete 2-dimensional Euclidean building, then the distance between their fixed-point sets is realised. Our proo…
Divergence, thickness and hypergraph index for general Coxeter groups
Pallavi Dani, Yusra Naqvi, Ignat Soroko +1
We study divergence and thickness for general Coxeter groups . We first characterise linear divergence, and show that if has superlinear divergence then its divergence is at…
Chimney retractions in affine buildings encode orbits in affine flag varieties
Elizabeth Milićević, Petra Schwer, Anne Thomas
This paper determines the relationship between the geometry of retractions and the combinatorics of folded galleries for arbitrary affine buildings, and so provides a unified frame…