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On locally graded groups with minimality condition for a certain system of nonhypercentral subgroups

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Abstract

We characterize groups without nontrivial perfect sections (in particular, solvable groups) with the minimality condition for the subgroups without hypercentral subgroups of finite index.

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Authors
  1. O. D. Artemovich
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Additional information

Kiev University, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 10, pp. 1425–1430, October, 1999.

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Artemovich, O.D. On locally graded groups with minimality condition for a certain system of nonhypercentral subgroups. Ukr Math J 51, 1609–1614 (1999). https://doi.org/10.1007/BF02981693

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  • DOI: https://doi.org/10.1007/BF02981693

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