A characterization of Clifford parallelism by automorphisms

DOI10.2140/iig.2019.17.43zbMath1406.51010arXiv1702.03328OpenAlexW2603936022MaRDI QIDQ1623010

Rainer Löwen

Publication date: 22 November 2018

Published in: Innovations in Incidence Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03328

zbMATH Keywords

automorphism groupClifford parallelismtopological parallelism

Mathematics Subject Classification ID

Linear incidence geometric structures with parallelism (51A15) Line geometries and their generalizations (51M30) Topological linear incidence structures (51H10)

Related Items (6)

Compactness of the automorphism group of a topological parallelism on real projective 3-space ⋮ Automorphisms of a Clifford-like parallelism ⋮ Rotational spreads and rotational parallelisms and oriented parallelisms of \(\mathrm{PG}(3,\mathbb{R})\) ⋮ Parallelisms of \(\mathrm{PG}(3,\mathbb{R})\) admitting a 3-dimensional group ⋮ Characterising Clifford parallelisms among Clifford-like parallelisms ⋮ Regular parallelisms on \(\mathrm{PG}(3,\mathbb{R})\) admitting a \(2\)-torus action

Cites Work

• Unnamed Item
• Parallelisms of \(\text{PG}(3, {\mathbb R})\) composed of non-regular spreads
• Generalized line stars and topological parallelisms of the real projective 3-space
• Clifford parallelism: old and new definitions, and their use
• Automorphisms of some topological regular parallelisms of \(\mathrm{PG}(3, \mathbb{R})\)
• Compactness of the automorphism group of a topological parallelism on real projective 3-space
• Collineation groups of topological parallelisms
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy

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