Index Abe, M., 27 Algebraic group, 12 Artin, E., 12 , 39, 83 Baer, R., 3 9 Bar symbol, 3 Big dilation, 15 , Big group, 65 Borel, A., 13 , 83, 84 Bounded module, 78 Burnside, W., 27 Carter, R . W., 13 Crievalley, C, 2 7 Chevalley group , 1 2 Classical group, 1 2 Coefficient, 7 8 Cohn, P. M., 84 Collinear group , 33 CoUinear transformation , 30 , 33 Commutator relation , 10 , 11 Contragredient, 3 7 Dickson, L. E., 13 , 27 Dieudonne, J., 12 , 19, 27, 83, 85 Dilation, 6 Dull, M. H., 84 Elementary matrix , 1 0 Elementary transvection , 1 0 Field isomorphism , 2 8 First simplicit y trick , 2 3 Fixed space , 4, 1 1 Fractional ideal , 76, Free module , 78 Full of projective transvections , 42 Full of transvections , 42 Fundamental Theore m o f Projective Geom - etry, 3 2 General geometric group, 3 General linear group, 3 Geometric transformation , 2 , 3 Gibbs, J. A., 83 Group o f automorphism s o f F , 3 3 Group o f collinea r transformations , 3 3 Group of geometric transformations , 3 Group o f linear transformations , 3 Group o f projectivities, 3 , 34 Hahn, A., vii, 84 Harmonic, 72 Hua, L. K., 27, 83 Humphreys, J. E. , 8 3 Huppert, B. , 85 Hyperplane, 2 Imprimitive, 25 Integral ideal , 77 Integral linear group , 78 Integral matrix, 8 0 Integral matrix group , 80 Involution, 6 Iwasawa, K., 27 Jacobowitz, R. , vii Jordan, C, 2 7 Kneser, M., 85 Line, 2 Linear congruenc e group , 7 8 86
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