Aug. 26, 28
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1.1 - 1.5, 2.1- 2.3, 3.1 - 3.2: Groups and subgroups, definition and examples; Cosets and quotient groups
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Aug. 31, Sept. 2, 4
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1.6 - 1.7, 3.3, 4.1: Homomorphisms and isomorphisms; Isomorphisms theorems; Group actions: orbits and stabilizers
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Sept. 9, 11
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4.2, 4.3, 4.5: Applications of groups actions; Sylow theory
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Sept. 14, 16, 18
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4.4, 4.5: Applications of Sylow theory; Representations induced by group actions; Automorphism group
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Sept. 21, 23, 25
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4.6, 5.1, 5.5: Automorphisms of Sn; The simplicity of An; Direct and indirect products
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Sept. 28, 30, Oct. 2
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5.4, 6.1, 5.2: Solvable and Nilpotent groups; Classification of finite abelian groups
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Oct. 5, 7, 9
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7.1 - 7.3: Rings, definition and examples; Ring homomorphisms and quotient rings; Ideals and their properties
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Oct. 12, 14, 16
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7.4 - 7.5: Properties of ideals, Rings of fractions
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Oct. 19, 21, 23
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7.6, 8.1 - 8.2: The Chinese Remainder theorem, Euclidean Domains, Principal ideal domains
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Oct. 26, 28, 30
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9.6, 8.3: Noetherian rings, Hilbert basis theorem, Unique factorization domains
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Nov. 2, 4, 6
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9.1 - 9.5: Polynomial rings
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Nov. 9, 11, 13
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10.1-10.4: Introduction to modules
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Nov. 16, 18, 20
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12.1: Modules over Principal Ideal Domains
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Nov. 23
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12.2-12.3: The Rational & Jordan Canonical forms
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Nov. 30, Dec. 2, 4
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Dec. 7
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