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 .
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Notes
Communicated by M. Dixon.