List of permutation topics

This is a list of topics on mathematical permutations.

Particular kinds of permutations

 * Alternating permutation
 * Circular shift
 * Cyclic permutation
 * Derangement
 * Even and odd permutations&mdash;see Parity of a permutation
 * Josephus permutation
 * Parity of a permutation
 * Separable permutation
 * Stirling permutation
 * Superpattern
 * Transposition (mathematics)
 * Unpredictable permutation

Combinatorics of permutations

 * Bijection
 * Combination
 * Costas array
 * Cycle index
 * Cycle notation
 * Cycles and fixed points
 * Cyclic order
 * Direct sum of permutations
 * Enumerations of specific permutation classes
 * Factorial
 * Falling factorial
 * Permutation matrix
 * Generalized permutation matrix
 * Inversion (discrete mathematics)
 * Major index
 * Ménage problem
 * Permutation graph
 * Permutation pattern
 * Permutation polynomial
 * Permutohedron
 * Rencontres numbers
 * Robinson–Schensted correspondence
 * Sum of permutations:
 * Direct sum of permutations
 * Skew sum of permutations
 * Stanley–Wilf conjecture
 * Symmetric function
 * Szymanski's conjecture
 * Twelvefold way

Groups

 * Alternating group
 * Automorphisms of the symmetric and alternating groups
 * Block (permutation group theory)
 * Cayley's theorem
 * Cycle index
 * Frobenius group
 * Galois group of a polynomial
 * Jucys–Murphy element
 * Landau's function
 * Oligomorphic group
 * O'Nan–Scott theorem
 * Parker vector
 * Permutation group
 * Place-permutation action
 * Primitive permutation group
 * Rank 3 permutation group
 * Representation theory of the symmetric group
 * Schreier vector
 * Strong generating set
 * Symmetric group
 * Symmetric inverse semigroup
 * Weak order of permutations
 * Wreath product
 * Young symmetrizer
 * Zassenhaus group
 * Zolotarev's lemma

Other algebraic structures

 * Burnside ring

Mathematical analysis

 * Conditionally convergent series
 * Riemann series theorem
 * Lévy–Steinitz theorem

Mathematics applicable to physical sciences

 * Antisymmetrizer
 * Identical particles
 * Levi-Civita symbol

Number theory

 * Permutable prime

Algorithms and information processing

 * Bit-reversal permutation
 * Claw-free permutation
 * Heap's algorithm
 * Permutation automaton
 * Schreier vector
 * Sorting algorithm
 * Sorting network
 * Substitution–permutation network
 * Steinhaus–Johnson–Trotter algorithm
 * Tompkins–Paige algorithm

Cryptography

 * Permutation box
 * Substitution box
 * Permutation cipher
 * Substitution cipher
 * Transposition cipher

Probability, stochastic processes, and statistics

 * Combinatorial data analysis
 * Ewens' sampling formula
 * Fisher–Yates shuffle
 * Order statistic
 * Permutation test
 * Permutational analysis of variance
 * Rankit
 * Resampling (statistics)
 * Seriation (statistics)

Random permutations

 * Golomb–Dickman constant
 * Random permutation
 * Random permutation statistics

Music

 * Change ringing
 * Method ringing
 * Permutation (music)

Games

 * Faro shuffle
 * Fifteen puzzle
 * Shuffling