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On groups containing the projective special linear group. (English) Zbl 0453.20004


MSC:

20B35 Subgroups of symmetric groups
20B10 Characterization theorems for permutation groups
Full Text: DOI

References:

[1] B.Huppert, Endliche Gruppen I. Berlin 1967. · Zbl 0217.07201
[2] W. M. Kantor andMacdonough, On the maximality of PSL(d +1,q, d) > 2. J. London Math. Soc.8, 426 (1974). · Zbl 0299.20010 · doi:10.1112/jlms/s2-8.3.426
[3] R. List, Groups containing PSL n (q) as a subgroup. Geom. Dedicata4, 373-375 (1975). · Zbl 0337.20004 · doi:10.1007/BF00148769
[4] B.Marggraf, Über primitive Gruppen mit transitiven Untergruppen geringen Grades. Dissertation. Gießen 1892.
[5] É. Mathieu, Sur la fonction cinq fois transitive de 24 quantites. J. Pures Appl. (2),18, 25-46 (1873). · JFM 05.0088.01
[6] P. M. Neumann, Transitive permutation groups of prime degree, IV: A problem of Mathieu and a theorem of Ito. Proc. London Math. Soc. (3),32, 52-62 (1976). · Zbl 0324.20005 · doi:10.1112/plms/s3-32.1.52
[7] B. A. Pogorelov, Maximal subgroups of subgroups of symmetric groups that are defined on protective spaces over finite fields (translated from Russian). Math. Zametki16, 91-100 (1974).
[8] H.Wielandt, Finite Permutation Groups. New York-London 1964. · Zbl 0138.02501
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