4. THeorem: Orders of a and a^-1 are equal | Orders of element and its inverse are same

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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) = 31 If in a group G * a ^ 5 = e aba^-1= b^2 for a, b belongs to G then show that o(b) = 31
5. Theorem: Orders of a and b^-1ab are equal (proof) 5. Theorem: Orders of a and b^-1ab are equal (proof)
Show that in a group G, orders or element and its inverse are same. Show that in a group G, orders or element and its inverse are same.
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