32 citations · 93 across the 27 of their papers we have counts for
25 papers · 1 filter
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…
Fixed points for group actions on 2-dimensional affine buildings
Jeroen Schillewaert, Koen Struyve, Anne Thomas
We prove a local-to-global result for fixed points of groups acting on affine buildings (possibly non-discrete) of types or . In the discrete case, our t…
Maximal torsion-free subgroups of certain lattices of hyperbolic buildings and Davis complexes
William Norledge, Anne Thomas, Alina Vdovina
We give an explicit construction of a maximal torsion-free finite-index subgroup of a certain type of Coxeter group. The subgroup is constructed as the fundamental group of a finit…
Palindromic automorphisms of right-angled Artin groups
Neil J. Fullarton, Anne Thomas
We introduce the palindromic automorphism group and the palindromic Torelli group of a right-angled Artin group A_G. The palindromic automorphism group Pi A_G is related to the pri…