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    Normalizer of a Subgroup of a Group

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    Modern Algebra
    Group Theory (XLV)
    Normalizer of a Subgroup of a Group
    Centralizer of a Subgroup of a Group

    Normalizer of a Subgroup of a Group: If H is a subgroup of G, let N(H) = {g belongs to G|gHg^-1 = H}. Prove that N(H) is a subgroup of G.

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    Solution Summary

    This solution is comprised of a detailed explanation to prove that N(H) is a subgroup of a group G,
    where H is a subgroup of G and N(H) = {g belongs to G|gHg^-1 = H}. The solution is detailed and well presented.

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