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On affine translation divisible designs
Authors:Antonino Giorgio Spera
Affiliation:(1) Dipartimento di Matematica ed appl. dell'Università, Via Archirafi 34, 90123 Palermo, Italy
Abstract:We prove that a translation divisible design (TDD) with an abelian translation group can be embedded in PG (n,q) for some nge2. Moreover we study affine TDD's showing that they have an (elementary) abelian translation group. A construction for TDD's with an abelian translation group which are not affine is given too.
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