Dr Geetha Thangavelu
Assistant Professor Grade I (Maths)
  +91 (0)471 - 2778134
  tgeetha@iisertvm.ac.in

Topics to be covered

PART A

Groups, normal subgroups and quotient groups, isomorphism theorems, group actions and Sylows theorems

PART B

Rings and ideals, quotient rings, Chinese remainder Theorem, UFD, PID and Polynomial rings, Modules, quotient modules and homomorphism, structure theorem for modules over PID's.

References:

            1. Abstract Algebra, Dummit and Foote, 3rd Edition Wiley

            2. A first course in Abstract Algebra, J.B. Fraleigh, 7th Edition, Addision  Wesley

            3. Algebra, Michael Artin, Phi Learning Pvt. Ltd

            4. Topics in Algebra, I.N.Herstein, 2nd Edition, Wiley.

Tutorials: TBA

Tutors: TBA

Lecture Plan

Sl.No.

Modules/Contents

No. of Lecture(s)

1

Group Theory

12

2

Ring Theory

5

3

PID’s and Polynomial Rings

3

4

Module Theory

4

 

 

24

Grading Scheme

Sl.No.

Type of Exam(s)

Marks

1

Quiz+Tutorial+Assignments

20

2

Midsem

30

3

Endsem

50

4

Term paper, if any, for electives only (Optional)

 

 

Total

100