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    (N)T is a normal subgroup of G.

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    Modern Algebra
    Group Theory (LXVI)
    Automorphism of a Group

    Let G be a group, T an automorphism of G, N a normal subgroup of G. Prove that (N)T is a normal subgroup of G.

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    Modern Algebra
    Group Theory (LXVI)
    Automorphism of a Group

    By:- Thokchom Sarojkumar Sinha

    Let be a group, an automorphism of , a normal subgroup of .
    Prove that is a normal subgroup of .

    Solution:- Let , where is a ...

    Solution Summary

    It is proven that (N)T is a normal subgroup of G where G is a group, T an automorphism of G and N a normal subgroup of G.
    The solution is detailed and well presented.

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