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2-Signalizers of Finite Simple Groups |
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| Authors: | A. S. Kondratiev V. D. Mazurov |
| Affiliation: | (1) Ural Branch, Russian Academy of Sciences, Institute of Mathematics and Mechanics, S. Kovalevskaya, 16, Ekaterinburg, 620066, Russia;(2) Akademika Koptyuga Prospekt, 4, Institute of Mathematics SB RAS, Novosibirsk, 630090, Russia |
| Abstract: | 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 |
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