A characterization of Clifford parallelism by automorphisms

Abstract

Betten and Riesinger have shown that Clifford parallelism on real projective space is the only topological parallelism that is left invariant by a group of dimension at least 5. We improve the bound to 4. Examples of different parallelisms admitting a group of dimension 3 are known, so 3 is the "critical dimension".

References in corpus (1)

• Compactness of the automorphism group of a topological parallelism on real projective 3-space

Cited by in corpus (6)

• Pencilled regular parallelisms
• Compactness of the automorphism group of a topological parallelism on real projective 3-space: The disconnected case
• Rotational spreads and rotational parallelisms and oriented parallelisms of PG(3,R)
• Regular parallelisms on PG(3,R) admitting a 2-torus action
• Characterising Clifford parallelisms among Clifford-like parallelisms
• Automorphisms of a Clifford-like parallelism