On local finiteness of periodic residually finite groups


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Kuzucouoglu M., Shumyatsky P.

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, cilt.45, ss.717-721, 2002 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 45
  • Basım Tarihi: 2002
  • Doi Numarası: 10.1017/s0013091501000311
  • Dergi Adı: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.717-721

Özet

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.