Про скінченні p-групи з недедекіндовою нормою абелевих нециклічних підгруп.

Abstract

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.