Brauer trees for the Schur cover of the symmetric group. (Q1406758)
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scientific article; zbMATH DE number 1975850
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Brauer trees for the Schur cover of the symmetric group. |
scientific article; zbMATH DE number 1975850 |
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Brauer trees for the Schur cover of the symmetric group. (English)
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7 September 2003
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Brauer trees of the faithful blocks of weight \(1\) of the Schur double covers of the symmetric group \(S_n\) and the alternating group \(A_n\) in odd characteristic are determined. As a corollary, faithful blocks of weight 1 of \(\widetilde S_n\) are classified up to Morita equivalence -- there are \(\lfloor(p+3)/4\rfloor\) such equivalence classes (whereas for a fixed \(p\) there is only one such equivalence class for \(S_n\)).
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Brauer trees
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Schur covers
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symmetric groups
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alternating groups
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