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Journal of the London Mathematical Society 1996 53(3):479-488; doi:10.1112/jlms/53.3.479
© 1996 by London Mathematical Society
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© The London Mathematical Society

Determination of Homomorphisms between Linear Groups of the same Degree over Division Rings

Zha Jianguo

Department of Applied Mathematics, Tong Ji University Shanghai 200092, China

Received 1 June 1994. Revision received 29 September 1994.

We determine all group homomorphisms SLn(D) -> GLn(E), where D and E are division rings such that char D = char E and E is finite-dimensional over its centre. Apart from the case where n = 2 and D is F2 or F3, all non-trivial group homomorphisms SLn(D) -> GLn(E) are induced from homomorphisms and anti-homomorphisms D -> E.


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