List of permutation topics
From Wikipedia, the free encyclopedia
This is a list of topics on mathematical permutations.
Particular kinds of permutations
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
- Permutation matrix
- Inversion (discrete mathematics)
- Major index
- Ménage problem
- Permutation graph
- Permutation pattern
- Permutation polynomial
- Permutohedron
- Rencontres numbers
- Robinson–Schensted correspondence
- Sum of permutations:
- Stanley–Wilf conjecture
- Symmetric function
- Szymanski's conjecture
- Twelvefold way
Permutation groups and other algebraic structures
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