Details of MA2205 (Spring 2025)
| Level: 2 | Type: Theory | Credits: 3.0 |
| Course Code | Course Name | Instructor(s) |
|---|---|---|
| MA2205 | Basic Algebra | Arjun Paul |
| Syllabus |
|---|
| Groups: Definition of groups, subgroups, group homomorphisms and isomorphisms, normal subgroups, quotient groups, Lagrange's theorem, isomorphism theorems, direct sum of abelian groups, direct products, Permutation groups, group as symmetries.
Group Action: Group actions, conjugacy classes, orbits and stabilizers, class equations. |
| References |
|---|
| References:
1. Artin, M.; Algebra, Prentice-Hall. 2. Dummit, D.S. and Foote, R.M.; Abstract Algebra, Wiley. 3. Gopalakrishnan, N.S.; University Algebra, New Age International. 4. Herstein, I.N.; Topics in Algebra, Wiley. 5. Fraleigh, J.B.; A First Course in Abstract Algebra, Narosa Publishers |
Course Credit Options
| Sl. No. | Programme | Semester No | Course Choice |
|---|---|---|---|
| 1 | IP | 2 | Not Allowed |
| 2 | IP | 4 | Not Allowed |
| 3 | IP | 6 | Not Allowed |
| 4 | MP | 2 | Not Allowed |
| 5 | MP | 4 | Not Allowed |
| 6 | MR | 2 | Not Allowed |
| 7 | MR | 4 | Not Allowed |
| 8 | MS | 10 | Not Allowed |
| 9 | MS | 4 | Core |
| 10 | MS | 6 | Not Allowed |
| 11 | MS | 8 | Not Allowed |
| 12 | RS | 1 | Not Allowed |
| 13 | RS | 2 | Not Allowed |