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Week
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Topics
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Study Metarials
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1
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Binary Operations
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R1-Section 2
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2
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Definition of Group and Elementary Properties of Groups I
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R1-Section 4
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3
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Definition of Group and Elementary Properties of Groups II
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R1-Section 4
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4
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Subgroups
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R1-Section 5
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5
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Cyclic Groups
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R1-Section 6
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6
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Permutation Groups
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R1-Section 8
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7
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Orbits, Cyclices, and Alternating Groups
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R1-Section 9
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8
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Cosets and Lagrange Theorems
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R1-Section 10
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9
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Direct Products and Finitely generated Abelian Groups
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R1-Section 11
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10
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Group Homomorphism
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R1-Section 13
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11
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Factor Groups
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R1-Section 14
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12
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Factor Groups Computation and Simple Groups
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R1-Section 15
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13
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Isomorphism Theorems
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R1-Section 34
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14
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Sylow Theorems
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R1-Section 36
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