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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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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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