MATH-32023 credit hours

Group Theory

Mathematics · 3 hrs Lecture

Offered: Fall Only, Every Year

One shot a year. Offered fall term only, so a clash costs a full year.

MATH-3202 prerequisites

4 courses appear in this chain, up to 3 levels deep. 1 is needed whichever route you take: MATH-1401

Part of this course's requisite text couldn't be parsed into structure, so the chain below may be incomplete. The full wording is under “Requisite courses”.

Show the chain

all of

MATH-1401Discrete Mathematics

any one of

Pre-Calculus Mathematics 40S

a grade of 65%

higher in Applied Mathematics 40S

MATH-0042Mathematics Access II

any one of

A minimum grade of 65% in Pre-Calculus 30S

a minimum grade of C+ in MATH-0041

permission of the Department Chair

any one of

MATH-2203Linear Algebra II
MATH-1201Linear Algebra I

any one of

Pre-Calculus Mathematics 40S

Applied Mathematics 40S

MATH-0042Mathematics Access II

Its prerequisites are shown above.

the former MATH-2221

the former MATH-2201

Add your completed courses to see which of these you've already done and what you could take next. They stay on this device.

Taking MATH-3202 is a prerequisite for 2 courses directly.

Where MATH-3202 counts

Required by 2 programs:

  • MATH 4-YEAR BA/BSc IN MATHEMATICS
  • MATH HONOURS BSc IN MATHEMATICS

Counts toward 3 more as one option among several, not as a course you must take:

  • MATH 3-YEAR BA/BSc IN MATHEMATICS
  • MATH MINOR IN MATHEMATICS
  • MATH TEACHABLE MINOR IN MATHEMATICS

Read from the departments' own calendar pages, where 71 of 141 programs are only partly machine-readable, so treat these as a minimum rather than the full list. Confirm with an academic advisor.

Description

This course studies symmetry groups of regular polygons and Platonic solids, permutations and permutation groups; abstract groups, cosets, homomorphisms, subgroups, normal subgroups and quotient groups; isomorphism theorems, Sylow theorems, classification of finitely generated Abelian groups; group actions and counting with Burnside's lemma.

Requisite courses

MATH-1401 and MATH-2203 or the former MATH-2221 or the former MATH-2201 [prerequisite(s)].

Restrictions

Students may not hold credit for this course and MATH-3201 | MATH-4201.

Lecture

From the 2026-27 undergraduate calendar. Always verify details on WebAdvisor or with an academic advisor before registering.