2019
Том 71
№ 9

All Issues

On the product of an abelian group and a nilpotent group

Gorodnik О. V.

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Abstract

We study the structure of the product of an Abelian group and a nilpotent group. Conditions for the existence of a normal subgroup in one of the factors are given. These conditions generalize the known results on the product of two Abelian groups. The statements obtained are used to describe the structure of a product of an infinite cyclic subgroup and a periodic nilpotent subgroup.

English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 9, pp 1314-1320.

Citation Example: Gorodnik О. V. On the product of an abelian group and a nilpotent group // Ukr. Mat. Zh. - 1999. - 51, № 9. - pp. 1165–1171.

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