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The Doubly Transitive t-Parallelisms

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Abstract.

Johnson showed that the only doubly transitive parallelisms of PG(3, q) are exactly the two regular parallelisms in PG(3, 2). This article completely generalizes this result to doubly transitive t-parallelisms of arbitrary finite projective spaces.

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Authors and Affiliations

  1. Mathematics Department, University of Iowa, Iowa City, IA, 52242, USA

    Norman L. Johnson

  2. Dipartimento di Matematica, Università di Lecce, Via Arnesano, I-73100, Lecce, Italy

    Alessandro Montinaro

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  1. Norman L. Johnson
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  2. Alessandro Montinaro
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Correspondence to Norman L. Johnson.

Additional information

The authors wish to thank the University of Iowa for support on this research.

Received: July 31, 2007. Revised: February 22, 2008.

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Johnson, N.L., Montinaro, A. The Doubly Transitive t-Parallelisms. Result. Math. 52, 75–89 (2008). https://doi.org/10.1007/s00025-008-0295-3

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  • DOI: https://doi.org/10.1007/s00025-008-0295-3

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