Geodesic
On the splitting of the normalizer of a maximal torus in symplectic groups
Izvestiya. Mathematics, Tome 78 (2014) no. 3, pp. 443-458 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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 
@article{IM2_2014_78_3_a1,
     author = {A. A. Gal't},
     title = {On the splitting of the normalizer of a~maximal torus in symplectic groups},
     journal = {Izvestiya. Mathematics},
     pages = {443--458},
     year = {2014},
     volume = {78},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2014_78_3_a1/}
}
TY  - JOUR
AU  - A. A. Gal't
TI  - On the splitting of the normalizer of a maximal torus in symplectic groups
JO  - Izvestiya. Mathematics
PY  - 2014
SP  - 443
EP  - 458
VL  - 78
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/IM2_2014_78_3_a1/
LA  - en
ID  - IM2_2014_78_3_a1
ER  - 
%0 Journal Article
%A A. A. Gal't
%T On the splitting of the normalizer of a maximal torus in symplectic groups
%J Izvestiya. Mathematics
%D 2014
%P 443-458
%V 78
%N 3
%U http://geodesic.mathdoc.fr/item/IM2_2014_78_3_a1/
%G en
%F IM2_2014_78_3_a1
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