On finite p-groups with non-dedekind norm of abelian non-cyclic subgroups.
DOI:
https://doi.org/10.31558/1817-2237.2019.1-2.7Keywords:
p -group, non-Dedekind subgroup, center of the group, generalized norms of the group, the norm of Abelian non-cyclic subgroups of the groupAbstract
In this paper the finite p-groups, in which the norm of Abelian non-cyclic subgroups is Non-Dedekind one, are considered. There were defined the series of general properties of such groups. It was proved that the finite p-group, in which the norm of Abelian non-cyclic subgroups is non-Dedekind and doesn't contain the Abelian non-cyclic subgroups, also doesn't contain such subgroups.
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Друшляк М.Г. Конечные
