#### Vol. 17, No. 1, 2019

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A characterization of Clifford parallelism by automorphisms

### Rainer Löwen

Vol. 17 (2019), No. 1, 43–46
##### 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 $\le 3$ are known, so 3 is the “critical dimension”.

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