Sections

• Introduction
• Creation of the Symmetric Group and Arithmetic with Permutations
• Construction of a General Permutation Group
• Standard Groups and Extensions
• Basic Operations
• Operations on the Set of Elements
• The Finitely Presented Group Associated with a Permutation Group
• G-Sets
• Standard Subgroup Constructions
• Properties of a Permutation Group
• Characteristic Subgroups and Normal Structure
• Conjugacy
• Cohomology
• Representation Theory
• Permutation Representations of Linear Groups
• Permutation Group Databases
• Base and Strong Generator Functions