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Determination of the finite primitive reflection groups over an arbitrary field of characteristic not 2. III. (English) Zbl 0471.51015


MSC:

51F15 Reflection groups, reflection geometries
20G15 Linear algebraic groups over arbitrary fields
20F05 Generators, relations, and presentations of groups
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References:

[1] Bagnera, G., ?I gruppi finiti di trasformazioni lineari dello spazio che contengono omologie?,Rend. Cir. mat. Palermo 19, 1-56 (1905). · JFM 36.0218.03
[2] Gorenstein, D.,Reviews on Finite Groups, Am. Math. Soc., Providence, 1974. · Zbl 0282.00024
[3] Mitchell, H.H., ?Determination of the Ordinary and Modular Ternary Linear Groups?,Trans. Am. Math. Soc. 12, 207-242 (1911). · JFM 42.0161.01
[4] Mitchell, H.H., ?Determination of all Primitive Collineation Groups in More than Four Variables which Contain Homologies?,Am. J. Math. 36, 1-12 (1914). · JFM 45.0253.01
[5] Moore, E.H., ?Concerning the Abstract Groups of Orderk! and 2 1 k! Holohedrically Isomorphic with the Symmetric and Alternating Substitution-Groups onk Letters?,Proc. London Math. Soc. 28, 357-366 (1897). · JFM 28.0121.03
[6] Wagner, A., ?The Faithful Linear Representations of Least Degree ofS n andA n over a Field of Odd Characteristic?,Math. Z. 154, 103-114 (1977). · Zbl 0345.20012
[7] Wagner, A., ?Determination of the Finite Primitive Reflection Groups over an Arbitrary Field of Characteristic not 2. Part I?,Geom. Dedicata 9, 239-253 (1980). · Zbl 0443.51009
[8] Wagner, A., ?Determination of the Finite Primitive Reflection Groups over an Arbitrary Field of Characteristic not 2. Part II?,Geom. Dedicata 10, 191 (1981). · Zbl 0471.51014
[9] Wagner, A., ?Collineation Groups Generated by Homologies of Order Greater than 2?,Geom. Dedicata 7, 387-398 (1978). · Zbl 0402.20036
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