# Abstract algebra and discrete proofs

> Study groups, vector-space quotients and proof techniques with carefully scoped definitions.

Prerequisites: Proofs, sets and modular arithmetic.

Short self-study course; not an accredited qualification or a complete university syllabus.

## Lessons

- [Groups, subgroups and element order](https://studybrix.com/en/courses/algebra-and-discrete-proofs/a-groups/index.md): advanced; 8 questions.
- [Homomorphisms, kernels and quotient structure](https://studybrix.com/en/courses/algebra-and-discrete-proofs/a-linear-quotients/index.md): advanced; 8 questions.
- [Induction, graphs and discrete reasoning](https://studybrix.com/en/courses/algebra-and-discrete-proofs/a-discrete-proofs/index.md): university; 8 questions.