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Cyclicity conditions for division algebras of prime degree

Mahdavi Hezavehi, M ; Sharif University of Technology | 2003

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  1. Type of Document: Article
  2. DOI: 10.1090/S0002-9939-03-06959-4
  3. Publisher: 2003
  4. Abstract:
  5. Let D be a division algebra of prime degree p. A set of criteria is given for cyclicity of D in terms of subgroups of the multiplicative group D* of D. It is essentially shown that D is cyclic if and only if D* contains a nonabelian metabelian subgroup
  6. Keywords:
  8. Source: Proceedings of the American Mathematical Society ; Volume 131, Issue 12 , 2003 , Pages 3673-3676 ; 00029939 (ISSN)
  9. URL: https://www.ams.org/journals/proc/2003-131-12/S0002-9939-03-06959-4