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group(deprecated)

  

centralizer

  

find the centralizer of a set of permutations

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

centralizer(pg, s)

Parameters

pg

-

group in which the centralizer is to be found

s

-

set of permutations or a single permutation

Description

• 

Important: The group package has been deprecated. Use the superseding command GroupTheory[Centralizer] instead.

• 

This function finds the largest subgroup of the permutation group pg in which every element commutes with every element of s. s need not be contained in pg.  The result is returned as an unevaluated permgroup call.

• 

The command with(group,centralizer) allows the use of the abbreviated form of this command.

Examples

Important: The group package has been deprecated. Use the superseding command GroupTheory[Centralizer] instead.

withgroup:

centralizerpermgroup7,1,2,1,2,3,4,5,6,7,3,6

permgroup7,1,2,2,4,1,2,5,3,6,4,7

(1)

centralizerpermgroup5,1,2,3,3,4,5,1,2

permgroup5,3,4,5,1,2,4,5

(2)

See Also

group[permgroup]

GroupTheory

GroupTheory[Centralizer]

 


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