mahdavih@sina.sharif.ac.ir

Submission: 1999, Nov. 10

Let $ D $ be an infinite division algebra of finite dimension over its centre. Assume that $ N $ is a subnormal subgroup of $ GL_n(D) $ with $ n \geq 1$. It is shown that if $ N $ is finitely generated, then $ N $ is central.

1991 Mathematics Subject Classification: 15A33, 16K40

Keywords and Phrases: Division ring, subnormal, finitely generated

Full text: dvi.gz 11 k, dvi 26 k, ps.gz 110 k, pdf.gz 122 k, pdf 161 k.