Abstract algebra
Groups as symmetries, cosets and Lagrange's theorem, quotient groups, permutations and finite fields.
6 planned
No page in this subject is open yet. The planned list below shows what is coming, in learning order.
Planned
In learning order. These are not pages yet.
- What a group is: the symmetries of a squareIntro
- Subgroups, cosets, and Lagrange's theoremIntro
- Permutations, cycles, and the sign of a permutationIntro
- Homomorphisms and quotient groupsAdvanced undergrad
- Why Z_n is a field only when n is primeAdvanced undergrad
- Solvable groups: why the general quintic has no formulaGraduate
How it connects
Builds on Proof, logic and sets Number theory Complex analysis
Leads to Geometry
Subjects marked “connection” are linked by a related idea, not by a prerequisite.