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Finite linear groups of prime degree. (English) Zbl 0201.03203


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[1] Blichfeldt, H. F.: Finite Collineation Groups. Chicago, Illinois: University of Chicago Press 1917. · JFM 46.0188.01
[2] Brauer, R.: On groups whose order contains a prime to the first power. I, II. Am. J. Math.64, 401-440 (1942). · Zbl 0061.03703 · doi:10.2307/2371693
[3] Über endlichen linearen Gruppen von Primzahlgrad. Math. Annalen,169, 73-96 (1967). · Zbl 0166.28903
[4] ?? Suzuki, M.: On finite groups of even order whose 2-Sylow group is a quaternion group. Proc. Nat. Acad. Sci.45, 1757-1759 (1959). · Zbl 0090.01901 · doi:10.1073/pnas.45.12.1757
[5] Feit, W.: Groups which have a faithful representation of degree less than p-1. Trans. Am. Math. Soc.112, 287-303 (1964). · Zbl 0117.27103
[6] ?? ??: On groups which have a faithful representation of degree less than (p-1)/2. Pacific Math. J.4, 1257-1262 (1961). · Zbl 0104.25103
[7] ?? ?? Solvability of groups of odd order, Pacific J. Math.13, 775-1029 (1963). · Zbl 0124.26402
[8] Hayden, S.: On finite linear groups whose order contains a prime larger than the degree. Thesis, Harvard University, 1963.
[9] Huppert, B.: Lineare auflösbare Gruppen. Math. Zeitschrift,67, 479-518 (1957). · Zbl 0079.03701 · doi:10.1007/BF01258878
[10] Ito, N.: On a theorem of H. F. Blichfeldt, Nagoya Math. J.5, 75-77 (1953). · Zbl 0052.26002
[11] Lindsey, J. H., II: A generalization of Feit’s theorem. To appear in Trans. Am. Math. Soc. · Zbl 0221.20057
[12] – Linear groups with an irreducible, normal rank twop-subgroup. To appear.
[13] Schur, I.: Untersuchungen über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen, J. für Math.132, 85-138 (1907). · JFM 38.0174.02
[14] ?? Über die Darstellung die symmetrischen und der alternierenden Gruppen durch gebrochene lineare Substitutionen, J. für Math.139, 155-250 (1911). · JFM 42.0154.02
[15] Tuan, H. F.: On groups whose order contains a prime to the first power. Ann. Math.45, 110-140 (1944). · Zbl 0061.03704 · doi:10.2307/1969079
[16] Wales, D.: Finite linear groups of degreep, Can. J. Math.21, 1025-1041 (1969). · Zbl 0274.20012 · doi:10.4153/CJM-1969-114-0
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