16 citations · 30 across the 18 of their papers we have counts for
5 papers · 1 filter
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…
Automorphisms and opposition in spherical buildings of exceptional type, I
James Parkinson, Hendrik Van Maldeghem
To each automorphism of a spherical building there is naturally associated an "opposition diagram", which encodes the types of the simplices of the building that are mapped onto op…
Coxeter systems for which the Brink-Howlett automaton is minimal
James Parkinson, Yeeka Yau
In this article we classify the Coxeter systems for which the Brink-Howlett automaton is minimal. We show that this automaton is minimal if and only if each elementary root is supp…
Scale and tidy subgroups for Weyl-transitive automorphism groups of buildings
Udo Baumgartner, James Parkinson, Jacqui Ramagge
We consider closed, Weyl-transitive groups of automorphisms of thick buildings. For each element of such a group, we derive a combinatorial formula for its scale and establish the…