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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2012, Issue 3(12), Pages 94–95
(Mi pfmt59)
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MATHEMATICS
A nonsimple criterion for finite factorized groups
V. N. Tyutyanov, V. A. Tyutyanova Gomel Branch of International University, Gomel
Abstract:
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.
Received: 27.03.2012
Citation:
V. N. Tyutyanov, V. A. Tyutyanova, “A nonsimple criterion for finite factorized groups”, PFMT, 2012, no. 3(12), 94–95
Linking options:
https://www.mathnet.ru/eng/pfmt59 https://www.mathnet.ru/eng/pfmt/y2012/i3/p94
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Abstract page: | 213 | Full-text PDF : | 83 | References: | 44 |
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