Prove the statement: Let g be a group, if g is abelian then (ab)2 = a2b2.
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Prove the statement: Let g be a group, if g is abelian then (ab)2 = a2b2.
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- If p1,p2,...,pr are distinct primes, prove that any two abelian groups that have order n=p1p2...pr are isomorphic.26. Prove or disprove that if a group has an abelian quotient group , then must be abelian.True or False Label each of the following statements as either true or false. 2. Any two abelian groups of the same order are isomorphic.