A note on solvability of factorizable finite groups (Q700243)
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scientific article; zbMATH DE number 1809815
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on solvability of factorizable finite groups |
scientific article; zbMATH DE number 1809815 |
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A note on solvability of factorizable finite groups (English)
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26 March 2003
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The Kegel-Wielandt theorem [see \textit{B. Huppert}, Endliche Gruppen I. Springer-Verlag, Berlin-Heidelberg-New York (1967; Zbl 0217.07201), Satz 4.3, p. 674], states that a finite group is solvable if it is the product of two nilpotent subgroups. Using the classification theorem of finite simple groups, the author gives an extension of the above well known theorem.
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factorizable groups
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2-decomposable subgroups
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2-nilpotent subgroups
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products of subgroups
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