Sylow \(p\)-subgroups of modular Abelian group rings (Q2720935)
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scientific article; zbMATH DE number 1611736
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sylow \(p\)-subgroups of modular Abelian group rings |
scientific article; zbMATH DE number 1611736 |
Statements
1 July 2001
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Abelian groups
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modular group rings
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groups of units
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Sylow \(p\)-subgroups of modular Abelian group rings (English)
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The author studies the group \(V(RG)\) of units with augmentation 1 of the group algebra \(RG\) of an Abelian group \(G\) over a commutative unitary ring \(R\) of prime characteristic \(p\). The main results give relations between \(V(RG)\) and \(V(RH)\) for subgroups \(H\) of \(G\) and, under some minimal restrictions on \(R\) and \(G\), criteria for the factors \(V(RG)/V(RH)\) to belong to some major classes of Abelian groups.
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