On the number of generators of a finite group (Q5903979)
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scientific article; zbMATH DE number 4105218
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the number of generators of a finite group |
scientific article; zbMATH DE number 4105218 |
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On the number of generators of a finite group (English)
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1989
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It is shown that if every Sylow subgroup of a finite group \(G\) can be generated by \(d\) elements, then \(G\) can be generated by \(d+1\) elements. Kovács has proved this for \(G\) solvable.
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numbers of generators
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Sylow subgroups
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finite groups
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