3. [3 Marks] Give a proof or a counter-example for the following statement. "If G is a group, and H is a subgroup of G,
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3. [3 Marks] Give a proof or a counter-example for the following statement. "If G is a group, and H is a subgroup of G,
3. [3 Marks] Give a proof or a counter-example for the following statement. "If G is a group, and H is a subgroup of G, and a and b are elements of G with aHbH, then a²H = b²H."
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