Some generalized Euclidean and 2-stage Euclidean number fields that are not norm-Euclidean
Jean-Paul Cerri
Abstract
Open-access reader
Jean-Paul Cerri
Abstract
Open-access reader
We give examples of Generalized Euclidean but not norm-Euclidean number fields of degree greater than 2. In the same way we give examples of 2-stage Euclidean but not norm-Euclidean number fields of degree greater than 2. In both cases, no such examples were known.
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We give examples of Generalized Euclidean but not norm-Euclidean number fields of degree greater than 2. In the same way we give examples of 2-stage Euclidean but not norm-Euclidean number fields of degree greater than 2. In both cases, no such examples were known.
Key concepts: Euclidean geometry, Euclidean distance matrix, Mathematics, Euclidean distance, Euclidean domain, Euclidean group, Norm (philosophy), Combinatorics