Brauer trees for the Schur cover of the symmetric group.
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 \(S_n\)).
scientific article; zbMATH DE number 1975850
scientific article