Geodesic
Extending characters from Hall subgroups.
Documenta mathematica, Tome 16 (2011), pp. 901-919.

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

Summary: Suppose that $G$ is a finite $\pi$-separable group. A classical result asserts that all irreducible characters of a Hall $\pi$-subgroup $H$ of $G$ extend to $G$ if and only if $H$ has a normal complement in $G$. Now, we fix a prime $p$ and analyze when only the $p'$-degree irreducible characters of $H$ extend to $G$.
Classification : 20C15, 20G40
Keywords: extensions of characters, Hall subgroups, Sylow normalizers, $\pi$-separable groups 
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     author = {Malle, Gunter and Navarro, Gabriel},
     title = {Extending characters from {Hall} subgroups.},
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     year = {2011},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a3/}
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Malle, Gunter; Navarro, Gabriel. Extending characters from Hall subgroups.. Documenta mathematica, Tome 16 (2011), pp. 901-919. http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a3/