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On Self-Normalising Sylow 2-Subgroups in Type A
Journal of Lie theory, Tome 28 (2018) no. 1, pp. 139-168
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Navarro has conjectured a necessary and sufficient condition for a finite group G to have a self-normalising Sylow 2-subgroup, which is given in terms of the ordinary irreducible characters of G. The first-named author has reduced the proof of this conjecture to showing that certain related statements hold when G is quasisimple. In this article we show that these conditions are satisfied when G/Z(G) is PSLn(q), PSUn(q), or a simple group of Lie type defined over a finite field of characteristic 2.
Classification : 20C15, 20C33
Mots-clés : Finite groups, Galois-McKay conjecture, Sylow 2-subgroups 
@article{JLT_2018_28_1_JLT_2018_28_1_a7,
     author = {A. A. Schaeffer Fry and J. Taylor},
     title = {On {Self-Normalising} {Sylow} {2-Subgroups} in {Type} {A}},
     journal = {Journal of Lie theory},
     pages = {139--168},
     year = {2018},
     volume = {28},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2018_28_1_JLT_2018_28_1_a7/}
}
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A. A. Schaeffer Fry; J. Taylor. On Self-Normalising Sylow 2-Subgroups in Type A. Journal of Lie theory, Tome 28 (2018) no. 1, pp. 139-168. http://geodesic.mathdoc.fr/item/JLT_2018_28_1_JLT_2018_28_1_a7/