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 originale | English |
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pagine (da-a) | 63-73 |
Numero di pagine | 11 |
Rivista | Advances in Geometry |
Volume | 21 |
DOI | |
Stato di pubblicazione | Pubblicato - 2021 |
Keywords
- Clifford parallelism
- Clifford-like parallelism
- automorphism
- projective double space
- quaternion skew field