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GroupCentralizer

GroupCentralizer
returns the centralizer of the element g in group.
  • The centralizer of an element g in group is the subgroup of elements of group that commute with g.
Take a permutation group:
And a permutation:
This is the subgroup of permutations in the group that commutes with the permutation g:
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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Take a permutation group:
And a permutation:
This is the subgroup of permutations in the group that commutes with the permutation g:
Check the result by direct computation of products with all elements:
This function checks that a permutation h commutes with g:
All 16 permutations in the centralizer commute with g:
New in 8