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

• Datum: 1992
• Hauptverfasser: Onishchuk, V.A., Онищук, В.А.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1992
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/8253
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 $...