The Brauer's second main theorem (Q1204890)
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scientific article; zbMATH DE number 146496
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Brauer's second main theorem |
scientific article; zbMATH DE number 146496 |
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The Brauer's second main theorem (English)
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1 April 1993
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Let \(G\) be a finite group, \(p\) be a prime, \(\pi\) be a \(p\)-element of \(G\), \(B\) be a \(p\)-block of \(G\), \(b\) be a \(p\)-block of \(C_ G(\pi)\). A manner of checking the equality \(b^ G = B\) is found. This manner of checking is a consequence of new orthogonality relations for \(p\)-blocks of \(G\) which are found in the paper.
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finite group
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\(p\)-element
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orthogonality relations
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\(p\)-blocks
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