Ch. 5: Permutation Groups

Define: Permutation of A
Define: Permutation Group of A

Products of Disjoint Cycles

Disjoint Cycles Commute

Order of a Permutation

Product of 2-Cycles

If e = (r number of Betas)

Theorem: Always even or always odd

Define: Even and Odd Permutations

Even permutations form a group

Define: Alternating group of degree n

For n > 1, A_n has what order?