The McKay conjecture is true for the sporadic simple groups (Q1270112)
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scientific article; zbMATH DE number 1213858
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The McKay conjecture is true for the sporadic simple groups |
scientific article; zbMATH DE number 1213858 |
Statements
The McKay conjecture is true for the sporadic simple groups (English)
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11 April 1999
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The McKay conjecture states that the number of irreducible complex characters of a finite group \(G\) that have degree prime to \(p\) is equal to the same number for the Sylow \(p\)-normalizer in \(G\). The author verifies this conjecture for the 26 sporadic simple groups by inspecting the structure of the groups \(N_G(P)/P'\) for the relevant Sylow subgroups \(P\) of a sporadic simple group \(G\).
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McKay conjecture
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numbers of irreducible complex characters
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sporadic simple groups
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Sylow subgroups
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