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Abstract
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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”.
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Keywords
Clifford parallelism, automorphism group, topological
parallelism
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Mathematical Subject Classification 2010
Primary: 51H10, 51A15, 51M30
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Milestones
Received: 17 February 2017
Accepted: 23 March 2017
Published: 19 November 2018
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