group(deprecated)/NormalClosure - Maple Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : group(deprecated)/NormalClosure

group(deprecated)

  

NormalClosure

  

Find the normal closure of a subgroup of a permutation group

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

NormalClosure(sg, pg)

Parameters

pg

-

group in which the normal closure is to be found

sg

-

subgroup of pg

Description

• 

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

• 

This function finds the smallest normal subgroup of the permutation group pg containing sg. To speed up the computation, it is required that sg be a subgroup of pg. The result is returned as an unevaluated permgroup call.

• 

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

Examples

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

withgroup:

pgpermgroup7,1,2,1,2,3,4,5,6,7:

sgpermgroup7,1,2,3,3,4,5,6,7:

NormalClosuresg,pg

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

(1)

See Also

group[core]

group[issubgroup]

GroupTheory

GroupTheory[NormalClosure]