Regular parallelisms from generalized line stars in \(P_{3} \mathbb{R}\): a direct proof

DOI10.1007/s00022-015-0302-2zbMath1360.51007OpenAlexW2243966476MaRDI QIDQ506928

Rainer Löwen

Publication date: 2 February 2017

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-015-0302-2

zbMATH Keywords

parallelismKlein quadrichyperflockregular parallelismThas-Walker constructiontopological parallelisms

Mathematics Subject Classification ID

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

Related Items (4)

Parallelisms of \(\mathrm{PG}(3,\mathbb{R})\) admitting a 3-dimensional group ⋮ Pencilled regular parallelisms ⋮ Regular parallelisms on \(\mathrm{PG}(3,\mathbb{R})\) admitting a \(2\)-torus action ⋮ Regular parallelisms on \(\mathrm{PG}(3, \mathbb{R} )\) from generalized line stars: the oriented case

Cites Work

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• Regular \(3\)-dimensional parallelisms of \(\mathrm{PG}(3,\mathbb{R})\)
• Generalized line stars and topological parallelisms of the real projective 3-space
• Topological projective spaces
• Translation planes. Foundations and construction principles
• Topological parallelisms of the real projective 3-space
• Collineation groups of topological parallelisms
• Hyperflock determining line sets and totally regular parallelisms of \(\text{PG}(3,\mathbb{R})\)

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