Mathematics 322, Introduction to group theory,
September-December 2016, Leonard S. Klinck Building, rm. 460,
Main Textbook : Joseph Rotman,
Introduction to the Theory of Groups,
free electronic copy available
through UBC library. You can download a copy by following the link
while on the UBC network.
Supplementary Texts :
The material we will be covering is standard;
any book with "group theory" or "abstract algebra" in the title
is likely to cover it. In particular, for those students who are interested
in looking at other books, in addition to Rotman's,
the following optional supplementary texts were
used in this course in previous years and contain most of the relevant
Office: 1105 Math Annex
Office hours: MW 1-2:30
E-mail: reichst at math.ubc.ca
Course description :
Math 322-23 is UBC's undergraduate honours abstract algebra sequence.
Math 322 is devoted entirely to group theory, with an emphasis on
finite groups. The topics I plan to cover are as follows.
Dummit and Foote, Abstract Algebra
Gallian, Contemporary Abstract Algebra
Wikipedia entry on equivalence relations.
The text up to ``Relations that are not equivalences" is
close to the material covered in class.
Definition and first properties of a group,
Cyclic and permutation groups.
Subgroups, cosets, and Lagrange's Theorem.
Homomorphisms, normal subgroups, quotients,
and simple groups.
Group actions, p-groups and Sylow theorems.
Homework and exams :
Homework assignments will be posted on the course website
and collected in class, usually on a biweekly schedule.
Late homework will not be accepted. The solutions
you turn in should be your own, written in your own words.
Problem Set 1, due Thursday, September 22.
Solutions to Problem Set 1.
Problem Set 2, due Thursday, October 6.
Solutions to Problem Set 2.
Problem Set 3, due Tuesday, October 18.
Solutions to Problem Set 3.
Problem Set 4, due Thursday, November 3.
Solutions to Problem Set 4.
Problem Set 5, due Tuesday, November 15.
Solutions to Problem Set 5.
Problem Set 6, due Thursday, December 1.
.tex file for Problem Set 6.
There will be two midterms and a final exam. Midterm 1 is scheduled for
Thursday, October 20, Midterm 2 for Thursday, November 17, and
the final exam for 7pm on Friday, December 16.
Midterm 1 syllabus and practice problems.
Solutions to practice problems for Midterm 1.
Solutions to Midterm 1
Midterm 2 syllabus and practice problems.
Solutions to practice problems for Midterm 2.
Solutions to Midterm 2
I will compute the total term mark in two ways,
Total 1 := Homework (20%) + Midterm 1 (20%) + Midterm 2 (20%) +
Final exam (40%), and
Total 2 := Homework (20%) + Best midterm (20%) + Final exam (60%),
and use the higher of these two numbers.