PMATH 336
Introduction to Group Theory with Applications
Undated · Introduction to Group Theory
Topics
- Definitions and Examples of Groups
- Subgroups
- The Symmetric and Alternating Groups
- Homomorphisms and Isomorphisms
- Cosets, Normal Subgroups and Quotient Groups
- The Classification of Finite Abelian Groups
- Isometries and Symmetry Groups
Readings
- Chapter 1. Definitions and Examples of Groups — https://www.math.uwaterloo.ca/~snew/PMATH336/Chap1Groups.pdf
- Chapter 2. Subgroups — https://www.math.uwaterloo.ca/~snew/PMATH336/Chap2Subgroups.pdf
- Chapter 3. The Symmetric and Alternating Groups — https://www.math.uwaterloo.ca/~snew/PMATH336/Chap3SymmetricGroup.pdf
- Chapter 4. Homomorphisms and Isomorphisms — https://www.math.uwaterloo.ca/~snew/PMATH336/Chap4Homomorphisms.pdf
- Chapter 5. Cosets, Normal Subgroups and Quotient Groups — https://www.math.uwaterloo.ca/~snew/PMATH336/Chap5QuotientGroups.pdf
- Chapter 6. The Classification of Finite Abelian Groups — https://www.math.uwaterloo.ca/~snew/PMATH336/Chap6FiniteAbelianGroups.pdf
- Chapter 7. Isometries and Symmetry Groups — https://www.math.uwaterloo.ca/~snew/PMATH336/Chap7SymmetryGroups.pdf
Sources
- Course catalogue ↗2026–2027
- course_website ↗Undated
- Public lecture-note archive by Stephen New. Topics are the chapter headings in the posted notes; this is not a current-term syllabus. Source term/year not established.