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

__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:
solvable groups, nonsolvability of S5

·
December 7: representations,
characters

·
December 11:
Fourier analysis on abelian groups