On local finiteness of periodic residually finite groups

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Date

2002-10-01

Author

Kuzucouoglu, M
Shumyatsky, P

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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.

Subject Keywords

Automorphisms, Centralizers, Periodic groups

URI

https://hdl.handle.net/11511/65296

Journal

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY

DOI

https://doi.org/10.1017/s0013091501000311

Collections

Department of Mathematics, Article