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Irreducible subgroups of gl1(D) satisfying group identities

Ebrahimian, R ; Sharif University of Technology | 2005

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  1. Type of Document: Article
  2. DOI: 10.1081/AGB-200058549
  3. Publisher: 2005
  4. Abstract:
  5. Let D be a finite dimensional F-central division algebra and G an irreducible subgroup of D*: = GL1(D). Here we investigate the structure of D under various group identities on G. In particular, it is shown that when [D : F] = p2, p a prime, then D is cyclic if and only if D* contains a nonabelian subgroup satisfying a group identity
  6. Keywords:
  7. Group identity ; Irreducible subgroup
  8. Source: Communications in Algebra ; Volume 33, Issue 9 , 2005 , Pages 3367-3373 ; 00927872 (ISSN)
  9. URL: https://www.tandfonline.com/doi/abs/10.1081/AGB-200058549