Intermediate subgroups in the unitary group over the skew field of quaternions
type: Item
instance of: scholarly article
title: Intermediate subgroups in the unitary group over the skew field of quaternions
zbMATH Open document ID: 0566.20023
DOI: 10.1007/BF01670576
author: S. L. Krupetskij
published in: Journal of Soviet Mathematics
publication date: 1984-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 20G20
Mathematics Subject Classification ID: 20E15
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 3902899
zbMATH Keywords: lattice of subgroups
zbMATH Keywords: unitary group
zbMATH Keywords: diagonal matrices
zbMATH Keywords: conjugacy of intermediate subgroups
MaRDI profile type: Publication
cites work: Q3884295
cites work: Q3208885
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description: scientific article; zbMATH DE number 3902899