On two theorems of finite solvable groups. (Q2581208)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On two theorems of finite solvable groups. |
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On two theorems of finite solvable groups. (English)
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9 January 2006
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Let \(G\) be a finite group and \(\tau(G)\) the set of prime factors of the indices of maximal subgroups of \(G\). Using the set \(\tau(G)\) three theorems on the solvability of \(G\) are proved. The classification theorem of finite simple groups is used indirectly in this paper.
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finite solvable groups
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indices of maximal subgroups
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simple groups
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complements
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Sylow subgroups
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solvability
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