✦ LIBER ✦

Finitely Generated Subnormal Subgroups of GLn(D) Are Central

✍ Scribed by M. Mahdavi-Hezavehi; M.G. Mahmudi; S. Yasamin

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 77 KB
Volume: 225
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8096

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✦ Synopsis

Let D be an infinite division algebra of finite dimension over its center. Assume that N is a subnormal subgroup of GL n D with n ≥ 1. It is shown that if N is finitely generated, then N is central.