The linear collineation group of a classical unital of PG(2, q^2) contains a group of homologies of order q +1. In this paper we prove that if 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 U is classical.
On unitals in $$PG(2,q^2)$$ P G ( 2 , q 2 ) stabilized by a homology group / Donati, Giorgio; Durante, Nicola; Alessandro, Siciliano. - In: DESIGNS, CODES AND CRYPTOGRAPHY. - ISSN 0925-1022. - 72:1(2014), pp. 135-139. [10.1007/s10623-013-9836-1]
On unitals in $$PG(2,q^2)$$ P G ( 2 , q 2 ) stabilized by a homology group
DONATI, GIORGIO;DURANTE, NICOLA;
2014
Abstract
The linear collineation group of a classical unital of PG(2, q^2) contains a group of homologies of order q +1. In this paper we prove that if 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 U is classical.File in questo prodotto:
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