Groups
Abstract algebra · Theoretical / proof-based
Binary operations, equivalence relations, and modular arithmetic
Objectives
- Binary operations, equivalence relations, and modular arithmetic
- Groups: definitions, examples (Z, Z_n, dihedral, symmetric groups)
- Subgroups and cyclic groups; generators and order
- Cosets, Lagrange's theorem, and index
- Normal subgroups and quotient groups
- Group homomorphisms and the first isomorphism theorem
- Direct products and simple groups (introduction)
Study materials
- Practice testComing soon