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On the locally nilpotent groups with a centralisator of the finite rank

Locally nilpotent groups in which the centralizer of some finitely generated subgroup has finite rank are studied. It is shown that if $G$ is such a group and $F$ is a finitely generated subgroup with centralizer $C_G(F)$ of finite rank, then the centralizer of the image of $F$ in the factor group $...

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Bibliographic Details
Date:	1992
Main Authors:	Onishchuk, V.A., Онищук, В.А.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 1992
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/8253
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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