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Alcune condizioni per la costruzione di un piano finito di traslazione

Alessandro Basile, Paolo Brutti (2001)

Bollettino dell'Unione Matematica Italiana

The construction of any finite translation plane depends on the appropriate determination of a partition P E of a Galois field E , together with a set A of automorphisms of E as a vector space. In this paper we obtain sufficient conditions on P E and A , so that a translation plane is produced. They are also necessary conditions when A = 1 . Particularly, we examine the case where E is a two-dimensional vector space. We prove that no translation planes are constructible by a single automorphism, other than...

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