Local subgroups and group algebras of finite \(p\)-solvable groups (Q1283761)
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scientific article; zbMATH DE number 1271028
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local subgroups and group algebras of finite \(p\)-solvable groups |
scientific article; zbMATH DE number 1271028 |
Statements
Local subgroups and group algebras of finite \(p\)-solvable groups (English)
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1 December 1999
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Let \(F\) be an algebraically closed field of characteristic \(p>0\), and let \(G\) be a finite group with Sylow \(p\)-subgroup \(P\). The authors consider the question whether the commutativity of \(N_G(P)/P\) can be recognized from the group algebra \(FG\), and prove some partial results in the case where \(G\) is \(p\)-nilpotent or of \(p\)-length 1.
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Brauer characters
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modular representations
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finite groups
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Sylow subgroups
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group algebras
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