What Is Abstract Algebra?

Definition of Groups

Definition of Groups (expanded)

Cayley Tables

Cyclic Groups

Cosets and Lagrange's Theorem

Normal Subgroups - Quotient Groups

Symmetric Groups

Cycle Notation of Permutations

Dihedral Groups

Direct Product Product of Groups

Simple Groups

Group Homomorphisms

Group Isomorphism Theorems

Matrix Groups

Sylow Theorems

Rings - Definition

Public Key Encryption

Arithmetic of Elliptic Curves

A Look Into Elliptic Curve Cryptography (ECC)

Quantum Groups