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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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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.
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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 provided by:
Thokchom Sarojkumar Sinha, MSc
Education
  • BSc, Manipur University
  • MSc, Kanpur University
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