Centralizers in residually finite torsion groups

Aner Shalev

doi:10.1090/s0002-9939-98-04471-2

Centralizers in residually finite torsion groups

Aner Shalev^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

5 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 C_G(Q) is soluble, or of finite exponent, then G is locally finite.

Original language	English
Pages (from-to)	3495-3499
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	126
Issue number	12
DOIs	https://doi.org/10.1090/s0002-9939-98-04471-2
State	Published - 1998

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Centralizers in residually finite torsion groups

Abstract

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