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Note on the existence of translation nets
Authors:Koen Thas
Affiliation:(1) Department of Pure Mathematics and Computer Algebra, Ghent University, Krijgslaan 281, S22, 9000 Ghent, Belgium
Abstract:We exhibit a class of (2 k + 1, 22k )-translation nets with nonabelian translation group, for any natural k. At the same time, it is the first infinite class of translation nets known to admit nonisomorphic translation groups for each of its elements.
Keywords:Translation net  Nonisomorphic translation groups  Generalized quadrangle
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