Let G be a group of order |G| <= 5. show that G is abelian.

| August 30, 2017

Question
1. Let G be a group of order |G| <= 5. show that G is abelian. Give an example of a non-abelian group of order 6.

2. Let G be a group and let a,b contained G be elements that commute and have order m and n, respectively. Prove that G contains an element of order lcm(m,n)
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