Voir la notice de l'article provenant de la source Math-Net.Ru
@article{PFMT_2020_2_a12, author = {S. F. Kamornikov and V. N. Tyutyanov}, title = {Finite simple groups all the maximal subgroups of which have odd index}, journal = {Problemy fiziki, matematiki i tehniki}, pages = {71--74}, publisher = {mathdoc}, number = {2}, year = {2020}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/PFMT_2020_2_a12/} }
TY - JOUR AU - S. F. Kamornikov AU - V. N. Tyutyanov TI - Finite simple groups all the maximal subgroups of which have odd index JO - Problemy fiziki, matematiki i tehniki PY - 2020 SP - 71 EP - 74 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/PFMT_2020_2_a12/ LA - ru ID - PFMT_2020_2_a12 ER -
S. F. Kamornikov; V. N. Tyutyanov. Finite simple groups all the maximal subgroups of which have odd index. Problemy fiziki, matematiki i tehniki, no. 2 (2020), pp. 71-74. http://geodesic.mathdoc.fr/item/PFMT_2020_2_a12/
[1] M.W. Liebeck, J. Saxl, “The primitive permutation groups of odd degree”, J. London Math. Soc., 31:2 (1985), 250–264 | MR | Zbl
[2] W.M. Kantor, “Primitive permutation groups of odd degree, and an application to the finite projective planes”, J. Algebra, 106:1 (1987), 15–45 | MR | Zbl
[3] N.V. Maslova, “Klassifikatsiya maksimalnykh podgrupp nechetnogo indeksa v konechnykh prostykh klassicheskikh gruppakh”, Tr. In-ta matematiki i mekhaniki UrO RAN, 14, no. 4, 2008, 100–118
[4] N.V. Maslova, “Classification of maximal subgroups of odd index in finite simple classical groups”, Siberian Electron. Math. Reports, 15 (2018), 707–718 | MR | Zbl
[5] N.V. Maslova, “Klassifikatsiya maksimalnykh podgrupp nechetnogo indeksa v konechnykh gruppakh so znakoperemennym tsokolem”, Tr. In-ta matematiki i mekhaniki UrO RAN, 16, no. 3, 2010, 182–184
[6] D. Gorenstein, Konechnye prostye gruppy. Vvedenie v ikh klassifikatsiyu, Mir, M., 1985, 352 pp.
[7] J.H. Conway, R.T. Curtis, S.P. Norton, R.A. Parker, R.A. Wilson, Atlas of finite groups, Clarendon Press, Oxford, 1985, 252 pp. | MR | Zbl
[8] G.M. Seitz, “Flag-transitive subgroups of Chevalley groups”, Ann. Math., 97:1 (1973), 27–56 | MR | Zbl
[9] V.N. Tyutyanov, L.A. Shemetkov, “Troinye faktorizatsii v konechnykh gruppakh”, Doklady NAN Belarusi, 46:2 (2002), 52–55
[10] M.W. Liebeck, C.E. Prager, J. Saxl, “A classification of the maximal subgroups of the finite alternating and symmetric groups”, J. Algebra, 111:2 (1987), 365–383 | MR | Zbl
[11] R.A. Wilson, The finite simple groups, Graduate texts in mathematics, 251, Springer, 2009, 298 pp. | MR | Zbl