3 citations · 7 across the 25 of their papers we have counts for
11 papers · 1 filter
Groups of Projectivities and Levi Subgroups in Spherical Buildings of Simply Laced Type
Sira Busch, Jeroen Schillewaert, Hendrik Van Maldeghem
We introduce the special and general projectivity groups attached to a simplex of a thick irreducible spherical building of simply laced type. If the residue of is irreduci…
Uniclass automorphisms of spherical buildings
Yannick Neyt, James Parkinson, Hendrik Van Maldeghem
An automorphism of a building is called uniclass if the Weyl distance between any chamber and its image lies in a single (twisted) conjugacy class of the Coxeter group. In this pap…
Automorphisms and opposition in spherical buildings of exceptional type, IV: The case
Yannick Neyt, James Parkinson, Hendrik Van Maldeghem +1
An automorphism of a spherical building is called \textit{domestic} if it maps no chamber onto an opposite chamber. This paper forms a significant part of a large project classifyi…
Automorphisms and opposition in spherical buildings of classical type
James Parkinson, Hendrik Van Maldeghem
An automorphism of a spherical building is called domestic if it maps no chamber to an opposite chamber. In this paper we classify domestic automorphisms of spherical buildings of…
Automorphisms and opposition in spherical buildings of exceptional type, II: Moufang hexagons
James Parkinson, Hendrik Van Maldeghem
We classify the automorphisms of a Moufang hexagon mapping no chamber to an opposite chamber (such automorphisms are called domestic). This forms part of a larger program to classi…
Moufang sets generated by translations in unitals
Theo Grundhöfer, Markus J. Stroppel, Hendrik Van Maldeghem
We consider unitals of order with two points which are centers of translation groups of order . The group generated by these translations induces a Moufang set on the bl…