On local finiteness of periodic residually finite groups


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Kuzucouoglu M., Shumyatsky P.

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, vol.45, pp.717-721, 2002 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 45
  • Publication Date: 2002
  • Doi Number: 10.1017/s0013091501000311
  • Title of Journal : PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
  • Page Numbers: pp.717-721

Abstract

Let G be a periodic residually finite group containing a nilpotent subgroup A such that C-G (A) is finite. We show that if [A, A(g)] is finite for any g is an element of G, then G is locally finite.