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Condition of a Normal Subgroup of a Group

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Suppose that A and B are two normal subgroups of a group G and that A intersection B = {e}.
Show that for any a belongs to A , b belongs to B, ab = ba.

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Solution Summary

This proof explains the condition of normal subgroup of a group.
- The solution is given in detail.
- This is mainly for finding the properties of normal subgroup of a group.

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Proof:- Let A and B be two normal subgroups of a group G such that
A intersection B = {e}
...

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