FAITHFULNESS OF CERTAIN MODULES AND RESIDUAL NILPOTENCE OF GROUPS-Reference-Cited by-同舟云学术

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FAITHFULNESS OF CERTAIN MODULES AND RESIDUAL NILPOTENCE OF GROUPS

Published:2006-06 Issue:03 Volume:16 Page:525-539
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

MIKHAILOV ROMAN¹,PASSI INDER BIR S.²

Affiliation:

1. Steklov Mathematical Institute, Department of Algebra, Gubkina 8, Moscow, 117966, Russia

2. Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad, 211019, India

Abstract

Let F be a non-cyclic free group and R, S its normal subgroups. We study the abelian group [Formula: see text], viewed as a module over F/RS, via conjugation in F, and residual nilpotence of the group F/[R, S]. An application to the asphericity of finite presentations is given.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196706003062

Reference30 articles.

1. Commutator Subgroups of Free Groups

2. Groups with the same lower central sequence as a relatively free group. II. Properties

3. On the inverse limit of free nilpotent groups

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Schur multiplier and (residual) nilpotent Lie rings;Communications in Algebra;2020-07-10

2. Group localization and two problems of Levine;Mathematische Zeitschrift;2015-01-23

3. On the derived series of some groups;Siberian Mathematical Journal;2011-03

4. Baer invariants and residual nilpotence of groups;Izvestiya: Mathematics;2007-04-30

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