Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-16T19:24:08.128Z Has data issue: false hasContentIssue false
  • English
  • Français

ON LOCAL FINITENESS OF PERIODIC RESIDUALLY FINITE GROUPS

Published online by Cambridge University Press:  14 October 2002

Mahmut Kuzucuoğlu  and
Pavel Shumyatsky
Mahmut Kuzucuoğlu
Affiliation:
Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey ([email protected])
Pavel Shumyatsky
Affiliation:
Department of Mathematics, University of Brasilia, Brasilia-DF, Brazil ([email protected])
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

Keywords

automorphismscentralizersperiodic groups
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