In group G if a^2= e then G is abelian

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If in a group G * a ^ 5 = e aba^-1= b^2 for a, b belongs to G then show that o(b) = 31If in a group G * a ^ 5 = e aba^-1= b^2 for a, b belongs to G then show that o(b) = 31
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