• Title of article

    Products of finite abelian groups as profinite groups

  • Author/Authors

    Krzysztof Krupi?ski، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2005
  • Pages
    27
  • From page
    556
  • To page
    582
  • Abstract
    We investigate products of finite abelian groups of bounded exponent as profinite structures in the sense of Newelski. In such groups we describe orbits under the action of the standard structural group of automorphisms. Then we conclude that such groups are small, m-normal and m-stable. Let X be a product of countably many finite abelian groups. We also investigate the influence of modifications of the standard structural group of X on its smallness, m-normality and m-stability.
  • Keywords
    Small profinite groups , Products of finite groups
  • Journal title
    Journal of Algebra
  • Serial Year
    2005
  • Journal title
    Journal of Algebra
  • Record number

    697168