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Unit 5: Normal Subgroups

6. Prove that if H  G and K  G, then HK  G. Notes

7. Prove that if H  G , K  G, then HK  G.

Answers: Self Assessment

1. (d) 2. (a) 3. (c) 4. (d) 5. (b)

5.6 Further Readings

Books Dan Saracino: Abstract Algebra; A First Course.
Mitchell and Mitchell: An Introduction to Abstract Algebra.
John B. Fraleigh: An Introduction to Abstract Algebra (Relevant Portion).

Online links www.jmilne.org/math/CourseNotes/
www.math.niu.edu

www.maths.tcd.ie/
archives.math.utk.edu

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