Centralizers in residually finite torsion groups-Reference-Cited by-同舟云学术

Centralizers in residually finite torsion groups

Published:1998 Issue:12 Volume:126 Page:3495-3499
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Shalev Aner

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-12/S0002-9939-98-04471-2/S0002-9939-98-04471-2.pdf

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