This is a list of topics on mathematical permutations.
- Alternating group
- Alternating permutation
- Automorphisms of the symmetric and alternating groups
- Bijection
- Burnside ring
- Circular shift
- Combination
- Cycle index
- Cycle notation
- Cyclic order
- Cyclic permutation
- Derangement
- Even and odd permutations—see Parity of a permutation
- Ewens' sampling formula
- Factorial
- Faro shuffle
- Fisher–Yates shuffle
- Frobenius group
- Golomb–Dickman constant
- Identical particles
- Josephus permutation
- Levi-Civita symbol
- Oligomorphic group
- Order statistic
- Parity of a permutation
- Parker vector
- Permutation
- Permutation (music)
- Permutation graph
- Permutation group
- Permutation matrix
- Permutation pattern
- Permutation polynomial
- Permutations and combinations
- Primitive permutation group
- Random permutation
- Random permutation statistics
- Rankit
- Rencontres numbers
- Resampling (statistics)
- Schreier vector
- Separable permutation
- Sorting algorithm
- Sorting network
- Stanley–Wilf conjecture
- Steinhaus–Johnson–Trotter algorithm
- Strong generating set
- Substitution cipher
- Sum of permutations:
- Superpattern
- Symmetric function
- Symmetric group
- Symmetric inverse semigroup
- Transposition (mathematics)
- Twelvefold way
- Weak order of permutations
- Wreath product
- Zassenhaus group
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