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State whether the statement is true or false. Also,please give a simple and clear explanation. A....

State whether the statement is true or false. Also,please give a simple and clear explanation.

A. let a,b ∈Sn, then |ab| is the least common multiple of |a| and |b|.

B.Let G and H be groups and suppose N is a normal subgroup of G. Then there exists a homomorphism from f: G → H,where N is the kernel of f.

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