Groups with weak maximality condition for nonnilpotent subgroups

Authors

  • 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 Gdoes not possess the infinite ascending chains {Hn|nN} of nonnilpotent subgroups such that the indexes |Hn+i:Hn| are infinite for all nN. In the present paper, we study the structure of hypercentral groups satisfying the weak maximality condition for nonnilpotent subgroups.

Published

25.08.2006

Issue

Section

Research articles

How to Cite

Kurdachenko, L. A., and N. N. Semko. “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.