*Course Name: Abstract Algebra

*Duration: August- December 2026

Abstract Algebra

Lecture 1: Overview of group theory

Lecture 2: Definition of groups and basic examples

Lecture 3: Subgroups

Lecture 4: Homomorphisms

Lecture 5: Isomorphism theorem

Lecture 6: Stabilizers, Normalizers, Centralizers

Lecture 5: Group operations

Lecture 6: Symmetric groups

Lecture 7: Lagrange's theorem

Lecture 8: Group actions 

Lecture 9: Sylow's theorem I

Lecture 10: Sylow's theorem II

Lecture 11: Overview of future course

Assignments

Assignment 1

*Assigned date: September 14, 2026

*Due date: September 30, 2025 [submit to my email]

References:

[1]  Dummit, David S. & Foote, Richard M. Abstract Algebra. Third edition, Wiley, 2016.

[2] Joseph Gallian. Contemporary abstract algebra. Tenth edition, Cengage Learning, 2021. 

[3]  Thomas Hungerford. Algebra. First edition, Springer, 1974.

Resources:

Lecture Series by NPTEL: Group Theory, Rings and Fields