• Title of article

    Tits alternative for maximal subgroups of GLn(D)

  • Author/Authors

    M. Mahdavi-Hezavehi، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2004
  • Pages
    11
  • From page
    518
  • To page
    528
  • Abstract
    Let D be a noncommutative division algebra of finite dimension over its centre F. Given a maximal subgroup M of GLn(D) with n 1, it is proved that either M contains a noncyclic free subgroup or there exists a finite family {Ki}r1 of fields properly containing F with K*i M for all 1 i r such that M/A is finite if CharF=0 and M/A is locally finite if CharF=p>0, where A=K*1× ×K*r.
  • Keywords
    division ring , free subgroup , maximal subgroup
  • Journal title
    Journal of Algebra
  • Serial Year
    2004
  • Journal title
    Journal of Algebra
  • Record number

    696483