(a) Define what it means for s group to be cyclic. (b) Give an example of an infinite cyclic group (c) Determine whether the group U[15] = {1,2,4,7,8,11,13,14}, where multiplication is mod 15, is cyclic.
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Originally Posted by Jason Bourne (a) Define what it means for s group to be cyclic. That is something you need to know from your textbook. (b) Give an example of an infinite cyclic group (c) Determine whether the group U[15] = {1,2,4,7,8,11,13,14}, where multiplication is mod 15, is cyclic. Can you find a generator?
No, I cannot find any generators, so the group is not cyclic.
Originally Posted by Jason Bourne No, I cannot find any generators, so the group is not cyclic. That is correct. In general if then the group is cyclic if and only if where is an odd prime.
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