The following are multiple choice questions (with answers) about abstract algebra.\n\nFind all c in Z_3 such that Z_3[x]/(x^2 + c) is a field.\nA. 0\nB. 1\nC. 2\nD. 3\nAnswer: B\n\nStatement 1 | If aH is an element of a factor group, then |aH| divides |a|. Statement 2 | If H and K are subgroups of G then HK is a subgroup of G.\nA. True, True\nB. False, False\nC. True, False\nD. False, True\nAnswer: B\n\nStatement 1 | Every element of a group generates a cyclic subgroup of the group. Statement 2 | The symmetric group S_10 has 10 elements.\nA. True, True\nB. False, False\nC. True, False\nD. False, True\nAnswer: C\n\nStatement 1| Every function from a finite set onto itself must be one to one. Statement 2 | Every subgroup of an abelian group is abelian.\nA. True, True\nB. False, False\nC. True, False\nD. False, True\nAnswer: A\n\nFind the characteristic of the ring 2Z.\nA. 0\nB. 3\nC. 12\nD. 30\nAnswer: A\n\nStatement 1 | S_n is non-Abelian for all n >= 3. Statement 2 | If a is a permutation that is an m-cycle and b is a permutation that is an n-cycle, then |ab| = lcm(m,n).\nA. True, True\nB. False, False\nC. True, False\nD. False, True\nAnswer:
 Add stress words which are capitalized. Limit those stress words for less than 17 times.
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