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Defining relations of the orthogonal group over an ordered Euclidean field - MaRDI portal

Defining relations of the orthogonal group over an ordered Euclidean field (Q1821200)

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scientific article; zbMATH DE number 3998083
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English
Defining relations of the orthogonal group over an ordered Euclidean field
scientific article; zbMATH DE number 3998083

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    Defining relations of the orthogonal group over an ordered Euclidean field (English)
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    1986
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    The author obtains some very explicit defining relations for the orthogonal group O(n,K) over an ordered Euclidean field K, that is an ordered field whose positive elements admit square roots. Also a canonical form for the elements of O(n,K) is described.
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    relations
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    orthogonal group
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    ordered Euclidean field
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