2017
Том 69
№ 9

# Groups with weak maximality condition for nonnilpotent subgroups

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.

English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 8, pp 1209-1222.

Citation Example: Kurdachenko L. A., Semko N. N. Groups with weak maximality condition for nonnilpotent subgroups // Ukr. Mat. Zh. - 2006. - 58, № 8. - pp. 1068–1083.

Full text