Torsion locally nilpotent groups with non-Dedekind norm of Abelian non-cyclic subgroups
Keywords:
torsion locally nilpotent group, norm of a group, non-Dedekindness, norm of Abelian non-cyclic subgroups
Published online:
2022-06-30
Abstract
The authors study relations between the properties of torsion locally nilpotent groups and their norms of Abelian non-cyclic subgroups. The impact of the norm of Abelian non-cyclic subgroups on the properties of the group under the condition of norm non-Dedekindness is investigated. It was found that for these restrictions, torsion locally nilpotent groups are finite extensions of a quasi-cyclic subgroup and the structure of such groups is completely described.
How to Cite
(1)
Lukashova, T.; Drushlyak, M. Torsion Locally Nilpotent Groups With Non-Dedekind Norm of Abelian Non-Cyclic Subgroups. Carpathian Math. Publ. 2022, 14, 247-259.