hw4 - (4 points 3 Section 4.5 Exercise 15 on page 147(4...

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Math 5125 Friday, September 9 Fourth Homework Due 9:05 a.m., Friday September 16 1. Let A ± G be groups with A cyclic and G / A nonabelian simple. Prove that Z ( G ) = A (what is G / C G ( A ) ?) (3 points) 2. Section 4.4, Exercise 14 on page 138.
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Unformatted text preview: (4 points) 3. Section 4.5, Exercise 15 on page 147. (4 points) 4. Prove that a group of order 120 is not simple. (2 points) (4 problems, 13 points altogether)...
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