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math.GR2024
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…
math.GR2024
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…