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Supersoluble crossed product criterion for division algebras

Ebrahimian, R ; Sharif University of Technology | 2005

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  1. Type of Document: Article
  2. DOI: 10.1007/BF02786697
  3. Publisher: Springer New York LLC , 2005
  4. Abstract:
  5. Let D be a finite-dimensional F-central division algebra. A criterion is given for D to be a supersoluble (nilpotent) crossed product division algebra in terms of subgroups of the multiplicative group D* of D. More precisely, it is shown that D is a supersoluble (nilpotent) crossed product if and only if D* contains an abelian-by-supersoluble (abelian-by-nilpotent) generating subgroup
  6. Keywords:
  8. Source: Israel Journal of Mathematics ; Volume 145 , 2005 , Pages 325-331 ; 00212172 (ISSN)
  9. URL: https://link.springer.com/article/10.1007/BF02786697