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Intersection of a Subgroup and the Normal Subgroup of a Group

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Please address the following question: If H is a subgroup of G and N is a normal subgroup of G, show that H intersection N is a normal subgroup of H.

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In this response it is shown that if H is a subgroup of G and N is a normal subgroup of G, that H intersection N is a normal subgroup of H. The solution is detailed and well presented in an attached Word document.

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Modern Algebra
Group Theory (XXXIX)
Subgroups of a Group
Normal Subgroups of a Group

If is a subgroup of and is ...

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