Local nilpotent groups satisfying a weak condition of minimality or maximality for subgroups of fixed degree of nilpotency

• Datum: 1992
• Hauptverfasser: Onishchuk , V. A., Sysak , Ya. P., Онищук , В. А., Сысак , Я. П.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1992
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/8107
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study locally nilpotent groups containing subgroups of class $c, c>1$, and satisfying the weak maximum condition or the weak minimum condition on $с$-nilpotent subgroups. It is proved that nilpotent groups of this type are minimax and periodic locally nilpotent groups of this type are...