On the existence of \(p\)-blocks of defect \(0\) in solvable groups (Q1582248)
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scientific article; zbMATH DE number 1512985
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of \(p\)-blocks of defect \(0\) in solvable groups |
scientific article; zbMATH DE number 1512985 |
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On the existence of \(p\)-blocks of defect \(0\) in solvable groups (English)
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28 February 2001
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The main result of the paper is a necessary and sufficient group theoretic criterion for the existence of blocks of defect zero in a finite solvable group \(G\). The criterion is too technical to be presented here in detail. It involves the existence of a chain of subgroups of \(G\) with certain properties. Starting with a block of defect \(0\) in \(G\), the chain of subgroups is constructed using suitable character correspondences in solvable groups.
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block of defect zero
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chains of subgroups
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finite solvable groups
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character correspondences
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