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The group fixing a completely regular line–oval

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Abstract

We prove that the action of the full collineation group of a symplectic translation plane of even order on the set of completely regular line–ovals is transitive. This provides us with a complete description of the group of collineations fixing a completely regular line–oval.

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Authors and Affiliations

  1. Dipartimento di Matematica “G. Castelnuovo”, La Sapienza Universita’ di Roma, p.le A. Moro 5, 00185, Rome, Italy

    Antonio Maschietti

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  1. Antonio Maschietti
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Correspondence to Antonio Maschietti.

Additional information

Communicated by Guglielmo Lunardon.

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Maschietti, A. The group fixing a completely regular line–oval. Des. Codes Cryptogr. 55, 37–43 (2010). https://doi.org/10.1007/s10623-009-9328-5

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  • DOI: https://doi.org/10.1007/s10623-009-9328-5

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