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

Authors

  • M. M. Piskun
  • N. N. Semko

Abstract

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.

Published

25.05.2008

Issue

Section

Research articles

How to Cite

Piskun, M. M., and N. N. Semko. “On the Application of Some Concepts of Ring Theory to the Study of the Influence of Systems of Subgroups of a Group”. Ukrains’kyi Matematychnyi Zhurnal, vol. 60, no. 5, May 2008, pp. 657–668, https://umj.imath.kiev.ua/index.php/umj/article/view/3184.