On infinite groups whose noncyclic norm has a finite index

  • F. N. Liman

Abstract

We study groups in which the intersection of normalizers of all noncyclic subgroups (noncyclic norm) has a finite index. We prove that if the noncyclic norm of an infinite noncyclic group is locally graded and has a finite index in the group, then this group is central-by-finite and its noncyclic norm is a Dedekind group.
Published
25.05.1997
How to Cite
LimanF. N. “On Infinite Groups Whose Noncyclic Norm Has a Finite Index”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 49, no. 5, May 1997, pp. 678–684, https://umj.imath.kiev.ua/index.php/umj/article/view/5048.
Section
Research articles