On groups with commutators of bounded order-Reference-Cited by-同舟云学术

On groups with commutators of bounded order

Published:1999-04-09 Issue:9 Volume:127 Page:2583-2586
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Shumyatsky Pavel

Abstract

Let p p be a prime, k k a non-negative integer. We prove that if G G is a residually finite group such that [ x , y ] p k = 1 [x,y]^{p^k}=1 for all x , y ∈ G x,y\in G , then G ′ G’ is locally finite.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-09/S0002-9939-99-04982-5/S0002-9939-99-04982-5.pdf

Reference11 articles.

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2. Subgroups of finite index in profinite groups;Hartley, Brian;Math. Z.,1979

3. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences];Huppert, Bertram,1982

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