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Course Detail

Course Name Advanced Algebra
Course Code 24MAT531
Program Integrated M. Sc. Mathematics and Computing
Semester Elective
Credits 4
Campus Coimbatore

Summary

Cyclotomic Polynomial and Extensions of Fields. 

Galois Theory: The Elements of Galois Theory, Group of Automorphisms and its fixed field, Galois Group, The Fundamental Theorem of Galois Theory, Solvable Groups, Solvability by Radicals. 

Introduction to the Representation Theory. Linear Actions and Modules over group rings.

References

  1. D.S. Dummit and R. M. Foote, ‘Abstract Algebra’, 2nd Ed., John Wiley, 2002.
  2. John B. Fraleigh, ‘A First Course in Abstract Algebra’, Narosa Publishing House, 2003.
  3. Joseph A. Gallian, ‘Contemporary Abstract Algebra’, Cengage Learning., 2013.
  4. M.Artin, ‘Algebra’, Prentice Hall inc 1994.
  5. Joseph Rotman,’Galois Theory’, 2nd Ed., Springer, 2001 

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