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Communications in Algebra Volume 35, 2007 - Issue 3
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Original Articles

Completely Reducible Linear Groups Over a Quaternion Division Algebra that Contain a Root Subgroup

Evgenii L. Bashkirov Belorussian State University of Informatics and Radioelectronics, Minsk, BelarusCorrespondence[email protected]
Pages 1019-1054 | Received 16 May 2005, Published online: 28 Mar 2007
 
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Abstract

Let F be a field of characteristic ≠ 2, D a quaternion division algebra over F, k a subfield of F, n an integer. Suppose that F is algebraic over k and n ≥ 2. In this article we study the completely reducible subgroups of GL n (D) that contain a conjugate in GL n (D) of the group of all matrices .

Mathematics Subject Classification:

Notes

Communicated by M. Dixon.

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