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Sibirskii Matematicheskii Zhurnal, 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
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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.
Received: 08.07.2004
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 1, Pages 173–192
DOI: https://doi.org/10.1007/s11202-006-0017-6
Bibliographic databases:
UDC: 519.41/47
Language: Russian
Citation: N. S. Chernikov, S. A. Dovzhenko, “Groups whose all nonnormal subgroups generate a nontrivial proper subgroup”, Sibirsk. Mat. Zh., 47:1 (2006), 211–235; Siberian Math. J., 47:1 (2006), 173–192
Citation in format AMSBIB
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