Mathematica > Mathematics and Algorithms > Discrete Mathematics > Group Theory > GroupCentralizer
BUILT-IN MATHEMATICA SYMBOL

GroupCentralizer

GroupCentralizer[group, g]
returns the centralizer of the element g in group.

DetailsDetails

  • The centralizer of an element g in group is the subgroup of elements of group that commute with g.

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Basic Examples (1)Basic Examples (1)

Take a permutation group:

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And a permutation:

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This is the subgroup of permutations in the group that commutes with the permutation g:

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Scope (1)Scope (1)

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