A non-empty subset H of a group G is a subgroup of G if and only if a*b^(-1)∈H for all a,b ∈H.

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A non-empty subset H of group G is a subgroup of G only if ab ∈ H ∀ a,b ∈ H & a^-1 ∀ a ∈ H theorem A non-empty subset H of group G is a subgroup of G only if ab ∈ H ∀ a,b ∈ H & a^-1 ∀ a ∈ H theorem
A non empty subset H of a group G is a subgroup of G if and only if,for any pair a,b€H,ab-1€H. A non empty subset H of a group G is a subgroup of G if and only if,for any pair a,b€H,ab-1€H.
A non-empty subset H of a group G Is a subgroup of G if and only if ab inverse ∈ H | NERDY CREW A non-empty subset H of a group G Is a subgroup of G if and only if ab inverse ∈ H | NERDY CREW
A non-empty finite subset H of a group G is a subgroup of G if and only if a.b ∈ H ∀ a, b ∈ H A non-empty finite subset H of a group G is a subgroup of G if and only if a.b ∈ H ∀ a, b ∈ H
A non-empty subset H of (G, +) is subgroup iff for all a, b in H, a+(-b) belongs to H. A non-empty subset H of (G, +) is subgroup iff for all a, b in H, a+(-b) belongs to H.
A non empty subset H of a group G is a subgroup of g iff ab^-1 belongs to H. A non empty subset H of a group G is a subgroup of g iff ab^-1 belongs to H.
H is a subgroup of G iff ab belongs to H for all a,b belongs to H #algebra #maths #groups H is a subgroup of G iff ab belongs to H for all a,b belongs to H #algebra #maths #groups
Prove that a non-empty subset H of a group G is a subgroup of G iff a,b∈H then ab^-1∈H || #Education Prove that a non-empty subset H of a group G is a subgroup of G iff a,b∈H then ab^-1∈H || #Education