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Finitely generated subnormal subgroups of GLn(D) are central

Mahdavi Hezavehi, M ; Sharif University of Technology | 2000

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  1. Type of Document: Article
  2. DOI: 10.1006/jabr.1999.8096
  3. Publisher: Academic Press Inc , 2000
  4. Abstract:
  5. Let D be an infinite division algebra of finite dimension over its center. Assume that N is a subnormal subgroup of GLn(D) with n≥1. It is shown that if N is finitely generated, then N is central. © 2000 Academic Press
  6. Keywords:
  7. Division ring ; Finitely generated ; Subnormal
  8. Source: Journal of Algebra ; Volume 225, Issue 2 , 2000 , Pages 517-521 ; 00218693 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S0021869399980961