Structure of locally graded CDN[)-groups

  • N. N. Semko

Abstract

We introduce the notion of CDN[)-groups:G is a CDN[)-group if, for any pair of its subgroupsA andB such thatA is a proper nonmaximum subgroup, ofB, there exists a normal subgroupN which belongs toG and satisfies the inequalitiesA≤N. Fifteen types of nilpotent non-Dedekind groups and nine types of nonnilpotent locally graded groups of this kind are obtained.
Published
25.03.1999
How to Cite
SemkoN. N. “Structure of Locally Graded CDN[)-Groups”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 51, no. 3, Mar. 1999, pp. 383–388, https://umj.imath.kiev.ua/index.php/umj/article/view/4621.
Section
Research articles