List of permutation topics

This is a list of topics on mathematical permutations.

• Alternating group
• Alternating permutation
• Antisymmetrizer
• Automorphisms of the symmetric and alternating groups
• Bijection
• Bit-reversal permutation
• Block (permutation group theory)
• Burnside ring
• Cayley's theorem
• Circular shift
• Claw-free permutation
• Combination
• Costas array
• Cycle index
• Cycle (mathematics)
• Cycle notation
• Cycles and fixed points
• Cyclic order
• Cyclic permutation
• Derangement
• Direct sum of permutations
• Enumerations of specific permutation classes
• Even and odd permutations—see Parity of a permutation
• Ewens' sampling formula
• Factorial
  • Falling factorial
• Faro shuffle
• Fifteen puzzle
• Fisher–Yates shuffle
• Frobenius group
• Generalized permutation matrix
• Golomb–Dickman constant
• Identical particles
• Inversion (discrete mathematics)
• Josephus permutation
• Jucys–Murphy element
• Landau's function
• Levi-Civita symbol
• Major index
• Ménage problem
• Method ringing
• Oligomorphic group
• Order statistic
• Parity of a permutation
• Parker vector
• Permutable prime
• Permutation
• Permutation automaton
• Permutation cipher
• Permutation (music)
• Permutation graph
• Permutation group
• Permutation matrix
  • Generalized permutation matrix
• Permutation pattern
• Permutation polynomial
• Permutohedron
• Primitive permutation group
• Random permutation
• Random permutation statistics
• Rank 3 permutation group
• Rankit
• Representation theory of the symmetric group
• Rencontres numbers
• Resampling (statistics)
• Robinson–Schensted correspondence
• Schreier vector
• Separable permutation
• Shuffling
• Skew sum of permutations
• Sorting algorithm
• Sorting network
• Stanley–Wilf conjecture
• Steinhaus–Johnson–Trotter algorithm
• Strong generating set
• Substitution cipher
• Substitution-permutation network
• Sum of permutations:
  • Direct sum of permutations
  • Skew sum of permutations
• Superpattern
• Symmetric function
• Symmetric group
• Symmetric inverse semigroup
• Szymanski's conjecture
• Transposition cipher
• Transposition (mathematics)
• Twelvefold way
• Unpredictable permutation
• Weak order of permutations
• Wreath product
• Young symmetrizer
• Zassenhaus group
• Zolotarev's lemma