5 citations · 5 across the 6 of their papers we have counts for
7 papers
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…
Quasi-polar spaces
Jeroen Schillewaert, Geertrui Van de Voorde
Quasi-polar spaces are sets of points having the same intersection numbers with respect to hyperplanes as classical polar spaces. Non-classical examples of quasi-quadrics have been…
On exceptional Lie geometries
Anneleen De Schepper, Jeroen Schillewaert, Hendrik Van Maldeghem +1
Parapolar spaces are point-line geometries introduced as a geometric approach to (exceptional) algebraic groups. We characterize a wide class of Lie geometries as parapolar spaces…
Constructing highly regular expanders from hyperbolic Coxeter groups
Marston Conder, Alexander Lubotzky, Jeroen Schillewaert +1
A graph is defined inductively to be -regular if is -regular and for every vertex of , the sphere of radius around is an $(a_1,\dot…
Characterising hyperbolic hyperplanes of a non-singular quadric in
S. G. Barwick, Alice M. W. Hui, Wen-Ai Jackson +1
Let be a non-empty set of hyperplanes in , even, such that every point of lies in either , or hyperplanes of , and…
On exceptional compact homogeneous geometries of type C3
Jeroen Schillewaert, Koen Struyve
We provide a uniform framework to study the exceptional homogeneous compact geometries of type C3. This framework is then used to show that these are simply connected, answering a…