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Communications in Algebra Volume 34, 2006 - Issue 6
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Original Articles

Irreducible Linear Groups of Degree Four 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 1931-1948 | Received 29 Nov 2004, Published online: 01 Feb 2007
 
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Abstract

Let F be a field of characteristic different from 2, let D be a quaternion division algebra over F and let k be a subfield of F. Assume that D is algebraic over k. We describe the irreducible subgroups of GL 4(D) that contain a conjugate in GL 4(D) of the group consisting of all matrices diag.

Mathematics Subject Classification:

Notes

Communicated by M. Dixon.

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