On local finiteness of periodic residually finite groups


Creative Commons License

Kuzucouoglu M., Shumyatsky P.

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

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.