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Multiplication Table for U(12); Elements in the Subgroup <5>; Is the group U(12) cyclic?

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What is the complete multiplication table for U(12)? What are the elements in the subgroup <5>? Is the group U(12) cyclic?

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U(12) and a subgroup are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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U(n) is always a group; and it consists of those residue classes whose representatives (from 1 to 12) are coprime to 12; ...

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