MATH 546 Midterm: MATH546 South Carolina 546 e1 f11
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If possible: turn the problems in order (use as much paper as necessary), use only one side of each piece of paper, and leave 1 square inch in the upper left hand corner for the staple. If you forget some of these requests, don"t worry about it i will still grade your exam. No calculators or cell phones: recall that u12 is the subgroup {1, z, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11} of (c \ {0}, ) , with z = e. 12 ) . (a) identify 4 subgroups of u12 in addition to {1} and u12 . Please give a complete explanation. n times: let s = r \ {4} . De ne on s by a b = 20 4a 4b + ab . Prove that (s, ) is a group: let g be a group with identity element id .
