Groups with weak maximality condition for nonnilpotent subgroups

  • L. A. Kurdachenko
  • N. N. Semko

Abstract

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 the present paper, we study the structure of hypercentral groups satisfying the weak maximality condition for nonnilpotent subgroups.
Published
25.08.2006
How to Cite
KurdachenkoL. A., and SemkoN. N. “Groups With Weak Maximality Condition for Nonnilpotent Subgroups”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, no. 8, Aug. 2006, pp. 1068–1083, https://umj.imath.kiev.ua/index.php/umj/article/view/3514.
Section
Research articles