Let U be a unital in PG(2, q^2), q = p^h and let G be the group of projectivities of PG(2, q2) stabilizing U. In this paper we prove that U is a Buekenhout–Metz unital containing conics and q is odd if, and only if, there exists a point A of U such that the stabilizer of A in G contains an elementary Abelian p-group of order q^2 with no non-identity elations.
A group theoretic characterization of Buekenhout–Metz unitalsin PG(2, q2) containing conics / Donati, Giorgio; Durante, Nicola. - In: DISCRETE MATHEMATICS. - ISSN 0012-365X. - 312:(2012), pp. 2371-2374. [10.1016/j.disc.2012.04.007]
A group theoretic characterization of Buekenhout–Metz unitalsin PG(2, q2) containing conics
DONATI, GIORGIO;DURANTE, NICOLA
2012
Abstract
Let U be a unital in PG(2, q^2), q = p^h and let G be the group of projectivities of PG(2, q2) stabilizing U. In this paper we prove that U is a Buekenhout–Metz unital containing conics and q is odd if, and only if, there exists a point A of U such that the stabilizer of A in G contains an elementary Abelian p-group of order q^2 with no non-identity elations.File in questo prodotto:
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