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Mathematica > Mathematics and Algorithms > Discrete Mathematics > Permutations > PermutationMin >

BUILT-IN MATHEMATICA SYMBOL

PermutationMin

PermutationMin[perm]
returns the smallest integer moved by the permutation perm.

Smallest point moved by a permutation:

Smallest point moved in a permutation list:

Smallest point moved by a permutation:

Out[1]=

Smallest point moved in a permutation list:

Out[1]=

Smallest integer of the support of a permutation in cyclic form:

Minimum of the support of the identity:

Smallest integer of the support of a permutation list:

Minimum of the support of the identity permutation list:

Smallest integer moved by the elements of a permutation group:

Smallest integer moved by the default permutation representation of a named abstract group:

On Cycles objects, PermutationMin is equivalent to applying Min:

On both Cycles objects and permutation lists, PermutationMin is equivalent to using Min on the permutation support: