M. Mahdavi-Hezavehi, M. G. Mahmudi, S. Yasamin: Finitely Generated Subnormal Subgroups of $ GL_n(D) $ Are Central

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

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