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Maximal orthogonal sets of unimodular vectors over finite local rings of odd characteristic

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arxiv 1903.01845 v1 pith:W2MIOUQK submitted 2019-03-05 math.RA

Maximal orthogonal sets of unimodular vectors over finite local rings of odd characteristic

classification math.RA
keywords characteristicfinitelocalorthogonalsetsunimodularvectorsbeta
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Let $R$ be a finite local ring of odd characteristic and $\beta$ a non-degenerate symmetric bilinear form on $R^2$. In this short note, we determine the largest possible cardinality of pairwise orthogonal sets of unimodular vectors in $R^2$.

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