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    Normal subgroups and product of two right cosets

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    Modern Algebra
    Group Theory (XXXV)
    Cosets of Subgroups of a Group
    Normal Subgroups of a Group

    A subgroup N of G is a normal subgroup of G if and only if the product of two right cosets of N in G is again a right coset of N in G.

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    Modern Algebra
    Group Theory (XXXV)
    Cosets of Subgroups of a Group
    Normal Subgroups of a Group

    By:- Thokchom Sarojkumar Sinha

    A subgroup of is a normal subgroup of if and only if the product of two right cosets of in
    is again a right coset of in .

    ...

    Solution Summary

    This solution is comprised of a detailed explanation to prove the statement "A subgroup N of G is a normal subgroup of G if and only if the product of two right cosets of N in G is again a right coset of N in G". The solution is detailed and well presented.

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