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Groups Whose All Nonnormal Subgroups Generate a Nontrivial Proper Subgroup

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Abstract

A complete constructive description is given for the groups whose all nonnormal cyclic subgroups generate a nontrivial proper subgroup.

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Authors and Affiliations

  1. Institute of Mathematics, Kiev, the Ukraine

    N. S. Chernikov & S. A. Dovzhenko

Authors
  1. N. S. Chernikov
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  2. S. A. Dovzhenko
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__________

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 47, No. 1, pp. 211–235, January–February, 2006.

Original Russian Text Copyright © 2006 Chernikov N. S. and Dovzhenko S. A.

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Chernikov, N.S., Dovzhenko, S.A. Groups Whose All Nonnormal Subgroups Generate a Nontrivial Proper Subgroup. Sib Math J 47, 173–192 (2006). https://doi.org/10.1007/s11202-006-0017-6

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  • DOI: https://doi.org/10.1007/s11202-006-0017-6

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