1Dept. of Mathematics, MSU Denver, Campus Box 38, Denver, CO 80217-3362, U.S.A. 2Dept. of Mathematics, University of Arizona, 617 N. Santa Rita Ave, Tucson, AZ 85721, U.S.A.
Journal of Lie Theory, Tome 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.
1
Dept. of Mathematics, MSU Denver, Campus Box 38, Denver, CO 80217-3362, U.S.A.
2
Dept. of Mathematics, University of Arizona, 617 N. Santa Rita Ave, Tucson, AZ 85721, U.S.A.
Amanda A. Schaeffer Fry; Jay 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/JOLT_2018_28_1_a7/
@article{JOLT_2018_28_1_a7,
author = {Amanda A. Schaeffer Fry and Jay 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/JOLT_2018_28_1_a7/}
}
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AU - Jay Taylor
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