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