Regular \(3\)-dimensional parallelisms of \(\mathrm{PG}(3,\mathbb{R})\)

zbMath1336.51008MaRDI QIDQ907820

Rolf Riesinger, Dieter Betten

Publication date: 26 January 2016

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1450389250

zbMATH Keywords

Clifford parallelismhyperflocktopological parallelismregular parallelismdimension of a regular parallelismgeneralized line pencilgeneralized line starrotational 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)

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 ⋮ Regular parallelisms from generalized line stars in \(P_{3} \mathbb{R}\): a direct proof ⋮ Automorphisms of some topological regular parallelisms of \(\mathrm{PG}(3, \mathbb{R})\) ⋮ 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

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