On a new criterion for the solvability of non-simple finite groups and \(m\)-abelian solvability (Q2035695)
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scientific article; zbMATH DE number 7363427
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a new criterion for the solvability of non-simple finite groups and \(m\)-abelian solvability |
scientific article; zbMATH DE number 7363427 |
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On a new criterion for the solvability of non-simple finite groups and \(m\)-abelian solvability (English)
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25 June 2021
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Summary: This paper is devoted to introduce a sufficient condition for the solvability of finite groups. Also, it presents the concepts of \(m\)-abelian and \(m\)-cyclic solvability as new generalizations of solvability and polycyclicity, respectively. These new generalizations show a connection between prime powers of elements in a finite group \(G\) and its solvability.
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0.9335365
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0.9253867
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0.91823655
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0.9132146
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0.90949243
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0.90747035
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