In the case where such a subgroup exists, what can be said about n ? Give an example of a non-Abelian group that has such a subgroup. Give an example of a group G and a prime n for which the set H together with the identity is not a subgroup. All Things Algebra Tpt congruent triangles Proving Triangle Congruence Independent Practice Worksheet Answer Key. Let n > 1 be a fixed integer and let G be a group. If the set H = together with the identity forms a subgroup of G, prove that it is a normal subgroup of G.
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