Automorphisms of a Clifford-like parallelism

Silvia Pianta, Stefano Pasotti, Hans Havlicek

Risultato della ricerca: Contributo in rivistaArticolo in rivista

Abstract

We focus on the description of the automorphism group Γ∥ of a Clifford-like parallelism ∥ on a 3-dimensional projective double space ((HF), ∥∥, ∥r) over a quaternion skew field H (of any characteristic). We compare Γ∥ with the automorphism group Γ∥ of the left parallelism ∥∥, which is strictly related to Aut(H). We build up and discuss several examples showing that over certain quaternion skew fields it is possible to choose in such a way that Γ∥ is either properly contained in Γ∥ or coincides with Γ∥ even though ∥.
Lingua originaleEnglish
pagine (da-a)63-73
Numero di pagine11
RivistaAdvances in Geometry
Volume21
DOI
Stato di pubblicazionePubblicato - 2021

Keywords

  • Clifford parallelism
  • Clifford-like parallelism
  • automorphism
  • projective double space
  • quaternion skew field

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