Geodesic
Group theoretic characterizations of Buekenhout-Metz unitals in PG$(2,q^{2})$
Journal of Algebraic Combinatorics, Tome 33 (2011) no. 3, pp. 401-407.

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Summary: Let $G$ be the group of projectivities stabilizing a unital $U$ mathcalU in $PG(2, q ^{2})$ mathopmathrmPG(2,q^2) and let $A, B$ be two distinct points of $U$ mathcalU. In this paper we prove that, if $G$ has an elation group of order $q$ with center $A$ and a group of projectivities stabilizing both $A$ and $B$ of order a divisor of $q - 1$ greater than 2( Ö $q -1$) 2(sqrtq-1), then $U$ mathcalU is an ovoidal Buekenhout-Metz unital. From this result two group theoretic characterizations of orthogonal Buekenhout-Metz unitals are given.
Keywords: keywords unitals, projectivities, elations 
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     author = {Donati, Giorgio and Durante, Nicola},
     title = {Group theoretic characterizations of {Buekenhout-Metz} unitals in {PG}$(2,q^{2})$},
     journal = {Journal of Algebraic Combinatorics},
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     number = {3},
     year = {2011},
     language = {en},
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Donati, Giorgio; Durante, Nicola. Group theoretic characterizations of Buekenhout-Metz unitals in PG$(2,q^{2})$. Journal of Algebraic Combinatorics, Tome 33 (2011) no. 3, pp. 401-407. http://geodesic.mathdoc.fr/item/JAC_2011__33_3_a4/