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Math Help - Abstract: Subgroups

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    Abstract: Subgroups

    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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    Quote Originally Posted by fulltwist8 View Post
    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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