Structure of locally graded CDN (]-groups

  • N. N. Semko

Abstract

We introduce the notion of a CDN(]-group G, namely, a group such that, for any pair of its subgroups A and B such that A is a proper nonmaximal subgroup of B, there exists a normal subgroup N of G and A < N ≤ B. Thirteen types of non-Dedekind nilpotent groups and 9 types of nonnilpotent locally graded groups of this kind are described.
Published
25.11.1998
How to Cite
SemkoN. N. “Structure of Locally Graded CDN (]-Groups”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 11, Nov. 1998, pp. 1532–1536, https://umj.imath.kiev.ua/index.php/umj/article/view/4805.
Section
Research articles