Mathematics · Abstract Algebra

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Cayley's Theorem establishes that every abstract group is isomorphic to a subgroup of the symmetric group, effectively proving that every group behaves like a permutation group. Reason R: For each element g in a group G, the function fg(x) = g × x acts as a permutation of G, and the collection of all such permutations forms a group under composition that is isomorphic to G. In the light of the above statements, choose the correct answer from the options given below: