Abstract Algebra I

Fall 2017

(640:451)

 

Course Info

Instructor: Swastik Kopparty (swastik.kopparty@gmail.com)

Class Time and Place: Mondays and Thursdays 12:00noon – 1:20pm, in ARC 105.

Office Hours:  Monday 3pm-4pm (Hill 432)

Textbook: Algebra by Artin

TA: Johannes Flake (jmf399@math.rutgers.edu)

TA Office Hours: Wednesdays 10:20 am-11:40 am (Hill 624)

Problem Sessions: Wednesdays 12 noon – 1:20 pm (Hill 425)

 

Homework

·       Homework 1, due September 21.  the relevant pages from Artin Chapter 2

·       Homework 2, due October 2, the relevant pages from Artin Chapter 2

·       Homework 3, due October 19, the relevant pages from Artin Chapter 5

·       Homework 4, due November 16, the relevant pages from Artin Chapter 6

·       Homework 5, due December 4, the relevant pages from Artin Chapter 6

·       Solutions to HWs 1,2,3

 

 

Lecture Schedule

·       September 7: sets with operations, groups

·       September 11: isomorphism, subgroups

·       September 14: homomorphisms, cosets

·       September 18: Lagrange’s theorem

·       September 21: products

·       September 25: quotient groups

·       September 28: first isomorphism theorem

·       October 2: affine group, rigid motions

·       October 5: finite groups of rigid motions

·       October 9: dihedral group

·       October 12: group actions

·       October 16: more group actions

·       October 19: Fermat’s little theorem: several proofs

·       October 23: MIDTERM I

·       October 26: first Sylow theorem

·       October 30: second and third Sylow theorems

·       November 2: applications of Sylow theorems

·       November 6: semidirect products

·       November 9: free groups

·       November 13: classification of finite abelian groups

·       November 16: commutators etc.

·       November 20: fun with the symmetric group

·       TUESDAY November 21: (THURSDAY SCHEDULE):

·       November 27: more fun with the symmetric group

·       November 30: MIDTERM II

·       December 4:

·       December 7:

·       December 11: