Extending characters from Hall subgroups.
Documenta mathematica, Tome 16 (2011), pp. 901-919
Suppose that G is a finite π-separable group. A classical result asserts that all irreducible characters of a Hall π-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
Mots-clés : extensions of characters, Hall subgroups, Sylow normalizers, π-separable groups
Mots-clés : extensions of characters, Hall subgroups, Sylow normalizers, π-separable groups
@article{10_4171_dm_355,
author = {Gunter Malle and Gabriel Navarro},
title = {Extending characters from {Hall} subgroups.},
journal = {Documenta mathematica},
pages = {901--919},
year = {2011},
volume = {16},
doi = {10.4171/dm/355},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/355/}
}
Gunter Malle; Gabriel Navarro. Extending characters from Hall subgroups.. Documenta mathematica, Tome 16 (2011), pp. 901-919. doi: 10.4171/dm/355
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