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Normal subgroups of GLn(D) are not finitely generated

Akbari, S ; Sharif University of Technology | 2000

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  1. Type of Document: Article
  2. DOI: 10.1090/s0002-9939-99-05182-5
  3. Publisher: American Mathematical Society , 2000
  4. Abstract:
  5. As a generalization of Wedderburn's classic theorem, it is shown that the multiplicative group of a noncommutative finite dimensional division algebra cannot be finitely generated. Also, the following conjecture is investigated: An infinite non-central normal subgroup of GLn(D) cannot be finitely generated. © 2000 American Mathematical Society
  6. Keywords:
  7. Division ring ; Finitely generated ; Normal subgroup
  8. Source: Proceedings of the American Mathematical Society ; Volume 128, Issue 6 , 2000 , Pages 1627-1632 ; 00029939 (ISSN)
  9. URL: https://www.ams.org/journals/proc/2000-128-06/S0002-9939-99-05182-5/S0002-9939-99-05182-5.pdf