On local finiteness of periodic residually finite groups

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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

Citation Formats

M. Kuzucouoglu and P. Shumyatsky, “On local finiteness of periodic residually finite groups,” PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, vol. 45, pp. 717–721, 2002, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65296.