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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Originally posted 2021-01-28 12:08:00.
