Cosets of a Subgroup

Solvable Groups

The Alternating Group

Subgroups

Representations of Groups

Surjective (onto) and Injective (one-to-one) functions

Quotient Groups

Quaternion Quotient Group

Permutation Groups Sn

Quaternion group of order 8

One-to-One and Onto Functions

One-one and Onto functions

Normal Subgroups

Lagranges Theorem

Group Homomorphisms

First IsomorphismTheorem

Group Automorphism

Factor Groups

Conjugacy and Conjugacy Classes

Center of a Group

A more formal understanding of functions

Abstract Algebra The Order of an Element

Symmetric Groups (Abstract Algebra)

Homomorphisms (Abstract Algebra)

Abstract Algebra The definition of a Subgroup

Abstract Algebra The definition of a Ring