2019
Том 71
№ 10

All Issues

On Chernikovp-groups

Gudivok P. M., Shapochka I. V.

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Abstract

We investigate extensions of divisible Abelianp-groups with minimality condition by means of a finitep-groupH and establish the conditions under which the problem of describing all nonisomorphic extensions of this sort is wild. All the nonisomorphic Chernikovp-groups are described whose factor-group with respect to the maximum divisible Abelian subgroup is a cyclic group of orderp s ,s≤2.

English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 3, pp 329-342.

Citation Example: Gudivok P. M., Shapochka I. V. On Chernikovp-groups // Ukr. Mat. Zh. - 1999. - 51, № 3. - pp. 291–304.

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