Geodesic
Maximal subgroups of odd index in finite groups with simple linear, unitary, or symplectic socle
Algebra i logika, Tome 50 (2011) no. 2, pp. 189-208.

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We give a classification of maximal subgroups of odd index in finite groups whose socle is isomorphic to one of the groups $PSL_n(q)$, $PSU_n(q)$, or $PSp_n(q)$ for $n\ge13$.
Keywords: finite group, almost simple group, classical group, maximal subgroup, odd index.
Mots-clés : socle 
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N. V. Maslova. Maximal subgroups of odd index in finite groups with simple linear, unitary, or symplectic socle. Algebra i logika, Tome 50 (2011) no. 2, pp. 189-208. http://geodesic.mathdoc.fr/item/AL_2011_50_2_a2/

[1] M. W. Liebeck, J. Saxl, “The primitive permutation groups of odd degree”, J. Lond. Math. Soc., II Ser., 31:2 (1985), 250–264 | DOI | MR | Zbl

[2] W. M. Kantor, “Primitive permutation groups of odd degree, and an application to finite projective planes”, J. Algebra, 106:1 (1987), 15–45 | DOI | MR | Zbl

[3] N. V. Maslova, “Klassifikatsiya maksimalnykh podgrupp nechëtnogo indeksa v konechnykh prostykh klassicheskikh gruppakh”, Tr. In-ta matem. mekh. UrO RAN, 14, no. 4, 2008, 100–118

[4] P. Kleidman, M. Liebeck, The subgroup structure of the finite classical groups, London Math. Soc. Lect. Note Series, 129, Cambridge Univ. Press, Cambridge, 1990 | MR | Zbl

[5] J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, R. A. Wilson, Atlas of finite groups, Clarendon Press, Oxford, 1985 | Zbl

[6] R. W. Carter, Simple groups of Lie type, Pure and Appl. Math., 28, J. Wiley Sons, London a.o., 1972