Modern Algebra : Permutation/Symmetric Groups

Permutations

In the following video, permutations is introduced, examples and T/F questions are shown.

 

Symmetric Groups

Symmetric groups are some of the most essential types of finite groups. A symmetric group is the group of permutations on a set. The group of

permutations on a set of n-elements is denoted S_n.

 

Orbits & Cycles

Permutations, cycles, and orbits are contrasted, compared, and further defined.

 

Product of cycles Example 1

Multiplication of Permutations in cycle notation. Example 1

 

Product and Inverses of Cycles

Product and inverses of permutation in cycle notation

 

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