Page 5 - DMTH403_ABSTRACT_ALGEBRA

CONTENT

Unit 1: Generating Sets 1
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Unit 2: Groups 20
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Unit 3: Subgroups 37
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Unit 4: Lagrange’s Theorem 50
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Unit 5: Normal Subgroups 60
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Unit 6: Group Isomorphism 70
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Unit 7: Homomorphism Theorem 82
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Unit 8: Permutation Groups 90
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Unit 9: Direct Products 101
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Unit 10: Finite Abelian Groups 112
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Unit 11: Conjugate Elements 123
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Unit 12: Sylow s Theorems 128
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Unit 13: Solvable Groups 134
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Unit 14: Rings 140
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Unit 15: Subrings 153
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