On \(p\)-nilpotent forcing groups (Q1190352)
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scientific article; zbMATH DE number 57318
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(p\)-nilpotent forcing groups |
scientific article; zbMATH DE number 57318 |
Statements
On \(p\)-nilpotent forcing groups (English)
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27 September 1992
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The finite \(p\)-group \(P\) is a \(p\)-nilpotent forcing group if every finite group \(G\) containing \(P\) as a Sylow \(p\)-subgroup is necessarily \(p\)- nilpotent. After developing some theory and quoting some known results, the author determines all 2-nilpotent forcing groups of order dividing 32.
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finite \(p\)-group
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Sylow \(p\)-subgroup
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2-nilpotent forcing groups
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