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Description of subgroups of the full linear group over a semilocal ring that contain the group of diagonal matrices

โœ Scribed by N. A. Vavilov


Publisher
Springer US
Year
1981
Tongue
English
Weight
263 KB
Volume
17
Category
Article
ISSN
1573-8795

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On subgroups in the special linear group
โœ Bui Xuan Hai ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 866 KB

For an arbitrary division algebra T we study the arrangement of subgroups of the special linear group r = SL.(T)(n 2 3) that contain the subgroup A = SD,(T) of diagonal matrices with Dieudonne's determinant (see [l]) equal to 1. We show that the description of these subgroups is standard in the foll