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On unitals in PG(2,q^2) stabilized by a homology group
Authors:Giorgio Donati  Nicola Durante  Alessandro Siciliano
Institution:1. Università di Napoli, Naples, Italy
2. Università della Basilicata, Potenza, Italy
Abstract:The linear collineation group of a classical unital of $\mathrm{PG}(2,q^2)$ contains a group of homologies of order $q+1$ . In this paper we prove that if $\mathcal{U }$ is a unital of PG $(2,q^2)$ stabilized by a homology group of order $q+1$ and $q$ is a prime number, then $\mathcal{U }$ is classical.
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