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On Chernikovp-groups

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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.

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Authors
  1. P. M. Gudivok
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  2. I. V. Shapochka
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Additional information

Uzhgorod University, Uzhgorod. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 3, pp. 291–304, March, 1999.

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Gudivok, P.M., Shapochka, I.V. On Chernikovp-groups. Ukr Math J 51, 329–342 (1999). https://doi.org/10.1007/BF02592471

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  • DOI: https://doi.org/10.1007/BF02592471

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