Linear groups over a skew field of quaternions containing the group T_{n}(A, \Phi) over a subsfield |
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Authors: | E L Bashkirov |
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Institution: | Byelorussian State University Informatics and Radioelectronics, P. Brovki str. 6, Minsk 220013, Belarus? e-mail: kafvm@gw.bsuir.unibel.by, BY
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Abstract: | We study the subgroups of
GLn(D) (n \geqq 3) GL_{n}(D) (n \geqq 3) over a skew field of quaternions D that comprise the subgroup of the unitary group Un(A, F) U_{n}(A, \Phi) over a subsfield
A \subseteqq D A \subseteqq D generated by all transvections in Un(A, F) U_{n}(A, \Phi) . |
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Keywords: | |
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