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The structure of a collineation group preserving an oval in a projective plane of odd order
Authors:Mauro Biliotti  Gabor Korchmaros
Institution:(1) Dipartimento di Matematica, Università di Lecce, Via Arnesano, 73100 Lecce, Italia;(2) Dipartimento di Matematica, Università della Basilicata, Via N. Sauro 34, 85100 Potenza, Italia
Abstract:We investigate the structure of a collineation groupG preserving an oval in a finite projective plane of odd order and we obtain several results aboutG, whenG is a2-group. These results are then used to investigate the structure ofG/O(G) in the general case and, in particular, that ofF*(G/O(G)).This research was supported in part by a grant from the M.U.R.S.T.
Keywords:51E21  51A10  51A35
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