*Course Name: Abstract Algebra

Abstract Algebra

Lecture 1: Overview of group theory

Lecture 2: Definition of group and basic properties

Lecture 3: Subgroups

Lecture 4: Homomorphism

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

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