The block structure and Ext of p-soluble groups (Q1088776)
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scientific article; zbMATH DE number 3991757
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The block structure and Ext of p-soluble groups |
scientific article; zbMATH DE number 3991757 |
Statements
The block structure and Ext of p-soluble groups (English)
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1987
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Let \(p\geq 5\) be a prime, k a field of characteristic p and G a p-solvable group. The authors show that if M, N are simple kG-modules in the same block, then \(Ext^{2n}_{kG}(M,N)\neq 0\) for some \(n<| G/{\mathcal O}_{p'}(G)| /p\). An example shows that the conclusion can fail for non-p-solvable groups.
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p-solvable group
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simple kG-modules
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block
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