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Page 1: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 2: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 3: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 4: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 5: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 6: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 7: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 8: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 9: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 10: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 11: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 12: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 13: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 14: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 15: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 16: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 17: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 18: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 19: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 20: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l
Page 21: math.columbia.edumath.columbia.edu/~bayer/S09/ModernAlgebra/Sylow.pdfSection 36 Sylow Theorems 323 We claim p divides IXI. In forming a p-tuple in X, we may let gl, g2, • , gp—l

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