Mathematics 322, Introduction to group theory.
Fall 2012, Mathematics Building 104, MWF 14:00-15:20
D. S. Dummit, R. M. Foote, Abstract algebra,
Course description :
This year the department is introducing a new two term undergraduate
algebra sequence, Math 322-323. (Previously only one term of abstract
algebra, Math 322, was offered.) Starting this term, Math 322 will be
devoted entirely to group theory, with an emphasis on finite groups.
Topics will include:
Office: 1105 Math Annex
Office hours: TBA
E-mail: reichst at math.ubc.ca
Homework assignments will be posted at
and collected in class. Late homework will not be accepted.
The solutions you turn in should be your own, written
in your own words.
There will be two midterms and a final exam. The midterms
are scheduled for Thursday, October 11 and Thursday, November 8.
The final exam will be scheduled by UBC; its time and
place will be announced later in the term.
I will compute the total term mark in two ways,
Definition of a group.
Permutation and linear groups.
Subgroups, cosets, Lagrange's Theorem.
Homomorphisms, normal subgroups and quotients.
Direct and semi-direct products.
Group actions, p-groups and Sylow Theorems.
Composition series, Jordan-Holder theorem.
Solvable and nilpotent groups.
Free groups; generators and relations.
Finitely generated abelian groups.
Homework 20%, First midterm 20%, Second midterm 20%,
Final exam 40%,
Best midterm 20%,
Final exam 60%,
and will use whichever of these two numbers is higher.
Students with disabilities :
Students with documented disabilities who may need
special accommodations should make an appointment
with me early in the term.
Practice problems for Midterm 1
Solutions to practice problems