Geodesic
A nonsimple criterion for finite factorized groups
Problemy fiziki, matematiki i tehniki, no. 3 (2012), pp. 94-95

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In the study of factorizable groups the authors consider some natural restrictions on the factors. Ito Theorem about two-step solubility of a finite group which is factorized by abelian subgroups, and Kegel-Wielandt Theorem about solubility of a finite group which is a product of two nilpotent subgroups are the classical examples in this trend. We should also note that L.S. Kazarin have obtained validity of the hypothesis of S.A. Chunikhin about non-simplicity of a finite group which is factorized by subgroups with nontrivial center.
Keywords: finite group, simple nonabelian group, factorized group. 
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     title = {A nonsimple criterion for finite factorized groups},
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}
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V. N. Tyutyanov; V. A. Tyutyanova. A nonsimple criterion for finite factorized groups. Problemy fiziki, matematiki i tehniki, no. 3 (2012), pp. 94-95. http://geodesic.mathdoc.fr/item/PFMT_2012_3_a16/