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ON LOCAL FINITENESS OF PERIODIC RESIDUALLY FINITE GROUPS
Published online by Cambridge University Press: 14 October 2002
Abstract
Let $G$ be a periodic residually finite group containing a nilpotent subgroup $A$ such that $C_G(A)$ is finite. We show that if $\langle A,A^g\rangle$ is finite for any $g\in G$, then $G$ is locally finite.
AMS 2000 Mathematics subject classification: Primary 20F50
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 45 , Issue 3 , October 2002 , pp. 717 - 721
- Copyright
- Copyright © Edinburgh Mathematical Society 2002
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