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Abstract
© 2014 Wiley Periodicals, Inc. A pseudo-hyperoval of a projective space, q even, is a set of subspaces of dimension such that any three span the whole space. We prove that a pseudo-hyperoval with an irreducible transitive stabilizer is elementary. We then deduce from this result a classification of the thick generalized quadrangles that admit a point-primitive, line-transitive automorphism group with a point-regular abelian normal subgroup. Specifically, we show that is flag-transitive and isomorphic to, where is either the regular hyperoval of PG(2, 4) or the Lunelli-Sce hyperoval of PG(2, 16).
Original language | English |
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Pages (from-to) | 151-164 |
Number of pages | 14 |
Journal | Journal of Combinatorial Designs |
Volume | 24 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Apr 2016 |
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Dive into the research topics of 'Generalized Quadrangles and Transitive Pseudo-Hyperovals'. Together they form a unique fingerprint.Projects
- 3 Finished
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Finite linearly representable geometries and symmetry
Praeger, C. (Investigator 01), Glasby, S. (Investigator 02) & Niemeyer, A. (Investigator 03)
ARC Australian Research Council
1/01/14 → 31/05/19
Project: Research
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Permutation Groups & their Interrelationship with the Symmetry of Graphs Codes & Geometric Configurations
Bamberg, J. (Investigator 01), Devillers, A. (Investigator 02) & Praeger, C. (Investigator 03)
ARC Australian Research Council
1/01/13 → 31/12/17
Project: Research
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Finite geometry from an algebraic point of view
Bamberg, J. (Investigator 01)
ARC Australian Research Council
1/01/12 → 30/06/17
Project: Research