Contents

• Contents
• Some sample groups
• Abstraction of Groups
• Applying the abstraction; More Groups
• Non-Groups
• Mappings and 'Morphisms
• Cosets and Normal Subgroups
• Examples of Automorphisms
• Characteristic and Fully Invariant Subgroups
• Transitivity
• Commutators
• Higher Order Commutator Subgroups
• Centers
• Acknowledgements

Abstract:

An introduction to groups automorphisms, endomorphisms, characteristic and fully invariant subgroups, commutators and their subgroups, and centers.