Here we have M.A. / M.Sc. Shared MATHEMATICS SEMESTER-1 Advanced Absetract Algebra Solution pdf. Here you have been added the Topic By Topics link with syllabus. By clicking on it, you can easily understand that topic.
Unit 1- Normal and Subnormal series of groups, Composition series, Jordan-Holder series.
Unit 2- Solvable and Nilpotent groups.
Unit 3- Extension fields, Roots of polynomials. Algebraic and transcendental extensions, Splitting fields, Separable and inseparable extensions.
Unit 4- Perfect fields, Finite fields, Primitive elements, Algebraically closed fields.
Unit 5- Automorphism of extensions, Galois extensions, Fundamental theorem of Galois theory, Solution of polynomial equations by radicals, Insolvability of general equation of degree 5 by radicals.
M.A. / M.Sc. MATHEMATICS Sem -1 Advanced Absetract Algebra Recommended Books
(1] I.N. Herstein, Topics in Algebra, Wiley Eastern Ltd. New Delhi, 1975.
[2] Vivek Sahai and Vikas Bist, Algebra, Narosa Publishing House, 1999.
[3] P.B. Bhattacharya, S.K.Jain and S.R.Nagpaul, Basic Abstract Algebra (2nd Edition). Cambridge University Press, Indian Edition, 1997.
M.A. / M.Sc. MATHEMATICS Sem -1 Advanced Absetract Algebra Reference Books
[1] N. Jacobson, Basic Algebra, Vols. I & II, W.H. Freeman, 1980(also published by Hindustan Publishing Company).
[2] S. Lang, Algebra, Addison-Wesley.
[3] I.S. Luther and I.B.S. Passi, Algebra, Vol.I-Groups, Vol. II-Rings, Narosa Publishing House (VO1. I-1996, Vol. II- 1999).
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