In this program
- Binary operations and equivalence relations
- Modular arithmetic
- Groups: definitions, examples (Z, Z_n, dihedral, symmetric groups)
- Subgroups and cyclic groups
- Cosets, Lagrange's theorem, and index
- Normal subgroups and quotient groups
- Group homomorphisms
- The first isomorphism theorem
- See all →
Groups
Groups: definitions, examples (Z, Z_n, dihedral, symmetric groups)
Abstract algebra · Theoretical / proof-based
Topic
Groups: definitions, examples (Z, Z_n, dihedral, symmetric groups)
Undergraduate Abstract Algebra — scope drawn from open algebra texts (e.g. Judson Abstract Algebra: Theory and Applications, AIM-approved) and typical US undergraduate algebra syllabi.