Geodesic
2-Signalizers of Finite Simple Groups
Algebra i logika, Tome 42 (2003) no. 5, pp. 594-623

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Maximal 2-signalizers and centralizers of Sylow 2-subgroups in all finite simple groups are described. Also normalizers are computed for Sylow 2-subgroups in the finite simple groups of exceptional Lie type over a field of odd characteristic.
Keywords: finite simple group, finite simple group of exceptional Lie type over a field of odd characteristic, Sylow 2-subgroup, maximal 2-signalizer, centralizer, normalizer. 
@article{AL_2003_42_5_a3,
     author = {A. S. Kondrat'ev and V. D. Mazurov},
     title = {2-Signalizers of {Finite} {Simple} {Groups}},
     journal = {Algebra i logika},
     pages = {594--623},
     publisher = {mathdoc},
     volume = {42},
     number = {5},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2003_42_5_a3/}
}
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A. S. Kondrat'ev; V. D. Mazurov. 2-Signalizers of Finite Simple Groups. Algebra i logika, Tome 42 (2003) no. 5, pp. 594-623. http://geodesic.mathdoc.fr/item/AL_2003_42_5_a3/