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Hii sir, I Wants to get the Syllabus of the Advanced Abstract Algebra-I Subject of the Msc Mathematics of the MDU Rohtak ?

[Vishal Kotkar]

Maharshi Dayanand University is a university in Rohtak, Haryana, India. It is accredited with an 'A' grade by NAAC.

The Syllabus of the Advanced Abstract Algebra-I Subject of the Msc Mathematics of the MDU Rohtak is given below

Advanced Abstract Algebra-I

Unit - I
Groups : Zassenhaus lemma, Normal and subnormal series, Composition series,
Jordan-Holder theorem, Solvable series, Derived series, Solvable groups, Solvability of Sn – the symmetric group of degree n ≥ 2.

Unit - II
Nilpotent group: Central series, Nilpotent groups and their properties, Equivalent
conditions for a finite group to be nilpotent, Upper and lower central series, Sylow-p sub groups, Sylow theorems with simple applications. Description of group of order p2 andpq, where p and q are distinct primes(In general survey of groups upto order 15).

Unit - III
Field theory, Extension of fields, algebraic and transcendental extensions.
Splitting fields, Separable and inseparable extensions, Algebraically closed fields, Perfect fields.

Unit - IV
Finite fields, Automorphism of extensions, Fixed fields, Galois extensions,
Normal extensions and their properties, Fundamental theorem of Galois theory,
Insolvability of the general polynomial of degree n ≥ 5 by radicals.


MSC Mathematics I Year Syllabus of MDU Rohtak






For more Information you may Contact to the MDU Rohtak the contact Detials Are given below

Contact Details :
MDU Rohtak
Address: Delhi Road, University Secretariat, Rohtak, Haryana 124001
Phone: 01262 393 596