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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 .

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#### 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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