3 papers
math.GR2025
Automorphisms of Lie incidence geometries with spectral gaps
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 unique (twisted) conjugacy class of the Coxeter group. In a previo…
math.GR2025
Automorphisms and opposition in spherical buildings of exceptional type, V: The case
James Parkinson, Hendrik Van Maldeghem
An automorphism of a spherical building is called \textit{domestic} if it maps no chamber to an opposite chamber. In previous work the classification of domestic automorphisms in l…
math.CO2018
Opposition diagrams for automorphisms of small spherical buildings
J. Parkinson, H. Van Maldeghem
An automorphism of a spherical building is called \textit{capped} if it satisfies the following property: if there exist both type and simplices of mapped o…