TY - JOUR
T1 - Automorphisms of a Clifford-like parallelism
AU - Havlicek, Hans
AU - Pasotti, Stefano
AU - Pianta, Silvia
PY - 2021
Y1 - 2021
N2 - 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 ∥.
AB - 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 ∥.
KW - Clifford parallelism
KW - Clifford-like parallelism
KW - automorphism
KW - projective double space
KW - quaternion skew field
KW - Clifford parallelism
KW - Clifford-like parallelism
KW - automorphism
KW - projective double space
KW - quaternion skew field
UR - http://hdl.handle.net/10807/176599
U2 - 10.1515/advgeom-2020-0027
DO - 10.1515/advgeom-2020-0027
M3 - Article
SN - 1615-715X
VL - 21
SP - 63
EP - 73
JO - Advances in Geometry
JF - Advances in Geometry
ER -