IGNOU BMTC 134 2026 - Using Cayley’s theorem, find the permutation group to which a cy

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 : 210

A cyclic group of order 12, denoted (C_{12}), consists of 12 elements generated by a single element (g) such that (g^{12} = e), where (e) is the identity element. Cayley’s theorem states that every group (G) of order (n) is isomorphic to a subgroup of the

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