Chapter 3: Permutation Groups

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Learning Objectives

Define and understand the properties of Permutation groups, symmetric groups, alternating groups and dihedral groups
Solve problems involving the Permutation groups, symmetric groups, alternating groups and dihedral groups

Definition: Permuatation Group

Let $X$ be a non-empty set. Then, the set of all the bijections from $X$ to $X$ with compositions forms a group; this group is called a Permutation group.

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