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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2006 Volume 47, Number 1, Pages 211–235 (Mi smj843)
Groups whose all nonnormal subgroups generate a nontrivial proper subgroup

N. S. Chernikov, S. A. Dovzhenko

Institute of Mathematics, Ukrainian National Academy of Sciences

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

Keywords: Dedekind group, nilpotent group, cyclic group, cyclic derived subgroup, central derived subgroup.

UDC: 519.41/47

Received: 08.07.2004


 English version: Siberian Mathematical Journal, 2006, 47:1, 173–192

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© Steklov Math. Inst. of RAS, 2025