Journal of Lie Theory

no. 1
On Self-Normalising Sylow 2-Subgroups in Type A
Journal of Lie Theory, Volume 28 (2018) no. 1, pp. 139-168
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.
DOI: 10.5802/jolt.997
Classification: 20C15, 20C33
Keywords: Finite groups, Galois-McKay conjecture, Sylow 2-subgroups 
@article{JOLT_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},
     doi = {10.5802/jolt.997},
     zbl = {1483.20011},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.997/}
}
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A. A. Schaeffer Fry; J. Taylor. On Self-Normalising Sylow 2-Subgroups in Type A. Journal of Lie Theory, Volume 28 (2018) no. 1, pp. 139-168. doi: 10.5802/jolt.997

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