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Maximal subgroups of skew linear groups

Mahdavi Hezavehi, M ; Sharif University of Technology | 2002

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  1. Type of Document: Article
  2. Publisher: 2002
  3. Abstract:
  4. Let D be an infinite division algebra of finite dimension over its centre Z(D) = F, and n a positive integer. The structure of maximal subgroups of skew linear groups are investigated. In particular, assume N is a normal subgroup of GLn(D) and M is a maximal subgroup of N containing Z(N). It is shown that if M/Z(N) is finite, then N is central. © Inst. Math. CAS 2002
  5. Keywords:
  6. Division ring ; Finitely generated ; Subnormal
  7. Source: Algebra Colloquium ; Volume 9, Issue 1 , 2002 , Pages 1-6 ; 10053867 (ISSN)