Intermediate subgroups in the unitary group over the skew field of quaternions (Q1059153)

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scientific article; zbMATH DE number 3902899
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Intermediate subgroups in the unitary group over the skew field of quaternions
scientific article; zbMATH DE number 3902899

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    Intermediate subgroups in the unitary group over the skew field of quaternions (English)
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    1984
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    We give a description of the lattice of those subgroups of the unitary group over the skew field of quaternions which contain the diagonal matrices (intermediate subgroups). It is shown that this lattice is finite. A condition for conjugacy of intermediate subgroups is found.
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    lattice of subgroups
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    unitary group
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    diagonal matrices
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    conjugacy of intermediate subgroups
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