THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.

DOCUMENTATION CENTER SEARCH

Mathematica > Mathematics and Algorithms > Discrete Mathematics > Permutations > PermutationLength >

BUILT-IN MATHEMATICA SYMBOL

PermutationLength

PermutationLength[perm]
returns the number of integers moved by the permutation perm.

The number of integers moved by a permutation is sometimes called its degree. Another common definition of permutation degree is the largest moved point.

Number of points moved by a permutation:

Number of points moved in a permutation list:

Number of points moved by a permutation:

Out[1]=

Number of points moved in a permutation list:

Out[1]=

Number of integers in the support of a permutation in cyclic form:

Length of the support of the identity:

Number of integers in the support of a permutation list:

Length of the support of the identity permutation list:

The length of the support of a permutation group is defined as the length of the union of the supports of its elements:

Support length of the default permutation representation of a named abstract group:

PermutationLength is equivalent to using Length on the permutation support: