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Linear groups over a skew field of quaternions containing the group \( T_{n}(A, \Phi) \) over a subsfield

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Abstract.

We study the subgroups of \( GL_{n}(D) (n \geqq 3) \) over a skew field of quaternions D that comprise the subgroup of the unitary group \( U_{n}(A, \Phi) \) over a subsfield \( A \subseteqq D \) generated by all transvections in \( U_{n}(A, \Phi) \).

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  1. Byelorussian State University Informatics and Radioelectronics, P. Brovki str. 6, Minsk 220013, Belarus¶ e-mail: kafvm@gw.bsuir.unibel.by, , , , , , BY

    E. L. Bashkirov

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  1. E. L. Bashkirov
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Eingegangen am 2. 1. 2001

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ID="*)"Eine revidierte Fassung ging am 26. 2. 2001 ein.

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Bashkirov, E. Linear groups over a skew field of quaternions containing the group \( T_{n}(A, \Phi) \) over a subsfield. Arch. Math. 79, 321–327 (2002). https://doi.org/10.1007/PL00012453

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  • DOI: https://doi.org/10.1007/PL00012453

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