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MATH 4200 Midterm: MATH 4200 LSU Fall 18 Exam f

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turquoisegnu128

31 Jan 2019

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Answer each of the questions on your own paper. Be sure to show your work so that partial credit can be adequately assessed. Put your name on each page of your paper: [10 points] all of the following are commutative rings with identity: z, q, r, c, z2, You may express your answer in whatever form you wish: [12 points] the alternating group a4 consists of the 12 elements in s4 which are even permutations. H = (cid:8)(1), (cid:0)1 2(cid:1) (cid:0)3 4(cid:1) , (cid:0)1 3(cid:1) (cid:0)2 4(cid:1) , (cid:0)1 4(cid:1) (cid:0)2 3(cid:1)(cid:9) . You may assume without proof that h is a subgroup of a4. Final exam (a) if g = hai = {1, a, a2, . If the group operation is addition, the condition would be 12a = 0. (c) which group on your list is isomorphic to z2 z6 z6.

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