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Brauer trees for the Schur cover of the symmetric group. (English) Zbl 1068.20016
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 \(S_n\)).

MSC:
20C30 Representations of finite symmetric groups
20C20 Modular representations and characters
Software:
GAP
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References:
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