Finite groups with \(p\)-Sylow coverings. (Q2470966)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite groups with \(p\)-Sylow coverings. |
scientific article |
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Finite groups with \(p\)-Sylow coverings. (English)
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15 February 2008
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From the authors' summary: We characterize the finite groups with an irredundant covering containing some \(p\)-Sylow subgroups. In particular, we analyze the symmetric and alternating groups, finding their \(p\)-elements having a \(p\)-subgroup as centralizer.
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irredundant coverings
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Sylow subgroups
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unions of subgroups
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Sylow coverings
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symmetric groups
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alternating groups
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finite groups
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