Innovations in Incidence Geometry — Algebraic, Topological and Combinatorial
- Innov. Incidence Geom. Algebr. Topol. Comb.
- Volume 17, Number 1 (2019), 43-46.
A characterization of Clifford parallelism by automorphisms
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 are known, so 3 is the “critical dimension”.
Innov. Incidence Geom. Algebr. Topol. Comb., Volume 17, Number 1 (2019), 43-46.
Received: 17 February 2017
Accepted: 23 March 2017
First available in Project Euclid: 26 February 2019
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Löwen, Rainer. A characterization of Clifford parallelism by automorphisms. Innov. Incidence Geom. Algebr. Topol. Comb. 17 (2019), no. 1, 43--46. doi:10.2140/iig.2019.17.43. https://projecteuclid.org/euclid.iig/1551206774