• Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • 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

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.