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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/106/04/0329-0368

    • Keywords

       

      Division algebra; finite simple group

    • Abstract

       

      LetD be a division algebra of degree three over an algebraic number fieldK and let G = SLD. We prove that the normal subgroup structure of G(K) is given by the Platonov-Margulis conjecture. The proof uses the classification of finite simple groups.

    • Author Affiliations

       

      Andrei Rapinchuk1 Alexander Potapchik1 2 3

      1. Department of Mathematics, University of Virginia, Charlottesville, Virginia - 22903, USA
      2. SFB 343, Fakultät für Mathematik, Universität Bielefeld, Bielefeld - 33501, Germany
      3. Department of Mathematics, University of Toronto, Toronto, Ontario - M5S1A1, Canada
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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