Using Cayley’s theorem, find the permutation group to which a cyclic group of
order 12 is isomorphic
Answer:-
We have given cyclic group of the order 12 generated by the element 'a’ of G,
we will take the' permutation group as we we have the cyclic subgroup H of generated by the cycle , that is of the length 12 and
This (or a conjugate of it) is what we obtain as by the proof of the Cayley's Theorem.
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