On a theorem of Benson and Parker (Q1110651)
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scientific article; zbMATH DE number 4073263
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a theorem of Benson and Parker |
scientific article; zbMATH DE number 4073263 |
Statements
On a theorem of Benson and Parker (English)
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1988
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Let G be a finite group and F a field of characteristic \(p>0\). Benson and Parker proved that if M and N are two FG-modules, such that \(\dim_ FHom_{FG}(M,X)=\dim_ FHom_{FG}(N,X)\) for every FG-module X, then \(M\cong N\). The author presents a short proof of this result in the case where F is algebraic over the prime field.
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finite group
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FG-modules
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