Geodesic
On the splitting of the normalizer of a~maximal torus in symplectic groups
Izvestiya. Mathematics , Tome 78 (2014) no. 3, pp. 443-458.

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We answer the question of the splitting of the normalizer of a maximal torus in symplectic groups over finite fields and algebraically closed fields of positive characteristic.
Keywords: normalizer of a torus, symplectic group, Weyl group.
Mots-clés : maximal torus 
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A. A. Gal't. On the splitting of the normalizer of a~maximal torus in symplectic groups. Izvestiya. Mathematics , Tome 78 (2014) no. 3, pp. 443-458. http://geodesic.mathdoc.fr/item/IM2_2014_78_3_a1/

[1] J. E. Humphreys, Linear algebraic groups, Springer-Verlag, New York–Heidelberg, 1975 | MR | MR | Zbl | Zbl

[2] D. Gorenstein, R. Lyons, R. Solomon, “The classification of the finite simple groups”, Part I, Chapter A, Almost simple $K$-groups, Math. Surveys Monogr., 40, Amer. Math. Soc., Providence, RI, 1998 | MR | Zbl

[3] R. W. Carter, Finite groups of Lie type. Conjugacy classes and complex characters, Pure Appl. Math. (N. Y.), Wiley, New York, 1985 | MR | Zbl

[4] A. A. Buturlakin, M. A. Grechkoseeva, “The cyclic structure of maximal tori of the finite classical groups”, Algebra and Logic, 46:2 (2007), 73–89 | DOI | MR | Zbl