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.

ExamplesExamplesopen allclose all

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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Introduced in 2010
(8.0)