MATH 546 Midterm: MATH546 South Carolina 546 sp04 1 nospace

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15 Feb 2019
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Problems 1 and 2 are worth 7 points each. Each of the other problems is worth 6 points. If i know your e-mail address, i will e-mail your grade to you. If i don"t already know your e-mail address and you want me to know it, then send me an e-mail. If you would like, i will leave your exam outside my o ce tomorrow by about noon, you may pick it up any time between then and the next class. I will post the solutions on my website at about 6:30 pm today: de ne group . Use complete sentences: exhibit a group g and two elements a and b of g with (ab)2 6= a2b2 , let g be a group and let h and k be subgroups of g . If yes, prove the result. counterexample: let g be a group and let h and k be subgroups of g .

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