Centralizers in residually finite torsion groups

Aner Shalev*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Let G be a residually finite torsion group. We show that, if G has a finite 2-subgroup whose centralizer is finite, then G is locally finite. We also show that, if G has no 2-torsion, and Q is a finite 2-group acting on G in such a way that the centralizer CG(Q) is soluble, or of finite exponent, then G is locally finite.

Original languageAmerican English
Pages (from-to)3495-3499
Number of pages5
JournalProceedings of the American Mathematical Society
Volume126
Issue number12
DOIs
StatePublished - 1998

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