Which of the following statement is not true? Let G be a non abelian group and...

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Which of the following statement is not true? Let G be a non abelian group and a.beG such such that 0(a)= m, 0 (b)=n. Then it is necessary that Ece G such that o(c)=1.c.m(0(a).a(b)) The number of subgroup of order 2 in a non abelian group of order 2p is p, where p is odd prime. Let a, b, € G such that a³ = e and a³b = ba³ where a = e. Then G is abelian. Group of order p³ may or may not be abelian Which of the following statement is not true? Let G be a non abelian group and a.beG such such that 0(a)= m, 0 (b)=n. Then it is necessary that Ece G such that o(c)=1.c.m(0(a).a(b)) The number of subgroup of order 2 in a non abelian group of order 2p is p, where p is odd prime. Let a, b, € G such that a³ = e and a³b = ba³ where a = e. Then G is abelian. Group of order p³ may or may not be abelian

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