Geodesic
The Isaacs-Navarro conjecture for covering groups of the symmetric and alternating groups in odd characteristic.
Journal of Algebraic Combinatorics, Tome 34 (2011) no. 3, pp. 401-426.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we prove that a refinement of the Alperin-McKay Conjecture for $p$-blocks of finite groups, formulated by I.M. Isaacs and G. Navarro in 2002, holds for all covering groups of the symmetric and alternating groups, whenever $p$ is an odd prime.
Keywords: keywords representation theory, symmetric group, covering groups, bar-partitions 
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     author = {Gramain, Jean-Baptiste},
     title = {The {Isaacs-Navarro} conjecture for covering groups of the symmetric and alternating groups in odd characteristic.},
     journal = {Journal of Algebraic Combinatorics},
     pages = {401--426},
     publisher = {mathdoc},
     volume = {34},
     number = {3},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2011__34_3_a4/}
}
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Gramain, Jean-Baptiste. The Isaacs-Navarro conjecture for covering groups of the symmetric and alternating groups in odd characteristic.. Journal of Algebraic Combinatorics, Tome 34 (2011) no. 3, pp. 401-426. http://geodesic.mathdoc.fr/item/JAC_2011__34_3_a4/