Groups with weak maximality condition for nonnilpotent subgroups

• Date: 2006
• Main Authors: Kurdachenko, L. A., Semko, N. N., Курдаченко, Л. А., Семко, Н. Н.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2006
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3514
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A group $G$ satisfies the weak maximality condition for nonnilpotent subgroups or, shortly, the condition Wmax-(non-nil), if $G$does not possess the infinite ascending chains $\{H_n | n \in N\}$ of nonnilpotent subgroups such that the indexes $|H_{n+i} :\; H_n |$ are infinite for all $n \in N$. In...