• Finite arithmetic subgroups ofGLn, III

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      https://www.ias.ac.in/article/fulltext/pmsc/104/01/0201-0206

    • Keywords

       

      Algebraic group; algebraic number field; quadratic form; finite arithmetic subgroup

    • Abstract

       

      LetG be an algebraic group inGLn(C) defined over Q, andK an algebraic number field with the maximal orderOk. If the groupG(Ok) of rational points ofG inMn(Ok) is a finite group and if it satisfies a certain condition, which is satisfied, for example, whenK is a nilpotent extension of Q and 2 is unramified, thenG(Ok) is generated by roots of unity inK andG(Z).

    • Author Affiliations

       

      Yoshiyuki Kitaoka1

      1. Department of Mathematics School of Science, Nagoya University, Japan
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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