Automorphisms of a Clifford-like parallelism

Stefano Pasotti, Silvia Pianta, Hans Havlicek

Research output: Contribution to journalArticle


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 ∥.
Original languageEnglish
Pages (from-to)63-73
Number of pages11
JournalAdvances in Geometry
Publication statusPublished - 2021


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


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