Show that a nonempty subset H of a group G is a subgroup of G if and only if a(b inverse) in H for all a,b, in H.
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Originally Posted by fulltwist8 Show that a nonempty subset H of a group G is a subgroup of G if and only if a(b inverse) in H for all a,b, in H. What properties does H need? Closure, associativity, identity, inverse. Can you show all of these?
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