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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…