On the application of some concepts of ring theory to the study of the influence of systems of subgroups of a group

• Date: 2008
• Main Authors: Piskun, M. M., Semko, N. N., Пискун, М. М., Семко, Н. Н.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3184
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the groups, in which the family Lnon-nn(G) of all not nearly normal subgroups has the Krull dimension. A subgroup H of the group G is said to be nearly normal if H has finite index in its normal closure.