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Two-transitive groups on a hyperbolic unital |
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| Authors: | M Biliotti |
| Institution: | a Dipartimento di Matematica, Università di Lecce, Via Arnesano, 73100 Lecce, Italy b Mathematics Department, Caledonian University, Cowcaddens Road, Glasgow, Scotland, UK c Mathematics Department, University of Iowa, Iowa City, IA 52242, USA |
| Abstract: | A classification given previously of all projective translation planes of order q2 that admit a collineation group G admitting a two-transitive orbit of q+1 points is applied to show that the only projective translation planes of order q2 admitting a hyperbolic unital acting two-transitively on a secant are the Desarguesian planes and the unital is a Buekenhout hyperbolic unital. |
| Keywords: | Two-transitive Subline orbit |
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