2017
Том 69
№ 9

All Issues

On the Norm of Decomposable Subgroups in Locally Finite Groups

Liman F. N., Lukashova T. D.


Abstract

We study the relationships between the norm of decomposable subgroups and the norm of Abelian noncyclic subgroups in the class of locally finite groups. We also describe some properties of periodic locally nilpotent groups in which the norm of decomposable subgroups is a non-Dedekind norm.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 4, pp 542-551.

Citation Example: Liman F. N., Lukashova T. D. On the Norm of Decomposable Subgroups in Locally Finite Groups // Ukr. Mat. Zh. - 2015. - 67, № 4. - pp. 480-488.