Question

Using Cayley’s theorem, find the permutation group to which a cyclic group of order 12 is isomorphic.

10 Jan 2026
Answer :
Word Count : 240
Let ( G ) be a cyclic group of order 12, say ( G = \langle g \rangle = { e, g, g^2, \dots, g^{11} } ). By Cayley’s theorem, every group ( G ) is isomorphic to a subgroup of the symmetric group ( S_{|G|} ), the __________ ________ _________ ____ _________ _______ _________ ___ ________.
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