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If you have any last minute questions, I will be in my office from 1 to 2 today.
Problem 4 (see definitions in section 6.1), 9(a), 10(a),
Problems 2, 3, 7(a)-(d)
Problems 1, 3, 14
Problems 5, 8, 9,
Problems 4, 5
Section 13.2, Problem 4.
Problem based on Section 6.13, Problem 3:
Let G be a group and for each x in G, let T_x be the inner automorphism T_x(a)=x^(-1) a x.
Define a function phi: G->Inner automorphisms of G by phi(x)=T_x.
Prove that the kernel of phi is the center of G (see definition in pg. 144) , and that phi is onto.
Then use the First Isomorphism Theorem to prove that G/Z is isomorphic to the inner automorphisms of G, where Z is the center of G.
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