Torsion locally nilpotent groups with non-Dedekind norm of Abelian non-cyclic subgroups
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DOI:
https://doi.org/10.15330/cmp.14.1.247-259Keywords:
torsion locally nilpotent group, norm of a group, non-Dedekindness, norm of Abelian non-cyclic subgroupsAbstract
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.
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Published
2022-06-30
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Lukashova, T.; Drushlyak, M. Torsion Locally Nilpotent Groups With Non-Dedekind Norm of Abelian Non-Cyclic Subgroups: Array. Carpathian Math. Publ. 2022, 14, 247-259.
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Scientific articles