Under construction. This area is a framework being built: most courses have no teaching material yet, and things may change or break. Private self-study. Not an official programme and not recognised by any ministry or school. No qualification, mark or document is issued, and “years 1 to 3” and “advanced” are names of study paths only.
B10 Abstract algebra I: groups
Years 1 to 3 pathB: Years 1 to 3 coreplannedabout 120 h (planning estimate)
Draft lectures and exercises are available for this course. They were written by AI and checked by a second AI; no person has reviewed them yet. Use them as a study aid, not as an authority.
Named in: Years 1 to 3 pathway
Why this course
First abstract algebra: groups, quotients and actions.
Prerequisites
Concept-level units
Units follow the syllabus order, as a recommended sequence rather than a gate.
- Groups and examples
- Subgroups and cyclic groups
- Cosets and Lagrange theorem
- Homomorphisms
- Quotients
- Group actions
Assessable outcome
Construct quotient groups and prove results using homomorphisms and actions.
Assessment design
- topic exercises
- mixed problem sets
- unseen proof or derivation problems
- cumulative examination
cumulative; uses spaced retrieval
Resources
Every title here is candidate, unverified unless marked verified. Titles were suggested while planning. Nobody has checked that they exist, what they cost or how they are licensed.
- Judson · Abstract Algebra: Theory and Applications
Content record
- Version
- 0.0.0
- Review
- no review of any kind
- Provenance
- catalogue imported from the owner brief of 29 Oct 2026; no teaching content authored
- Known issues
- none recorded
- Type
- course
Bridges and laboratories
- Laboratory: Finite groups, cosets, quotient maps, ring examples planned Bounded examples illustrate, not prove all group/ring theorems
You and this course
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