Show that a nonempty subset H of a group G is a subgroup of G if and
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Show that a nonempty subset H of a group G is a subgroup of G if and only if ab-1 ∈ H for all a, b ∈ H.
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Let H be a subgroup of G Then for a b H we have b 1 H and ab 1 H because H must be clo...View the full answer
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