GroupTheory/ReducedDegreePermGroup - Maple Help
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GroupTheory

  

ReducedDegreePermGroup

  

try to find an isomorphic permutation group of smaller degree

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

ReducedDegreePermGroup( G )

Parameters

G

-

PermutationGroup; a permutation group

Description

• 

The ReducedDegreePermGroup( G ) command returns a permutation group isomorphic (as an abstract group) with possibly smaller degree, if one can be found.

Examples

(1)

(2)

(3)

(4)

It is not always possible to produce an isomorphic permutation group with smaller degree.

(5)

(6)

(7)

(8)

On the other hand, particularly for groups produced either from a finitely presented group (which are often regular), or via a linear or projective action on a vector space, the degree can be reduced substantially.

(9)

(10)

(11)

(12)

(13)

See Also

GroupTheory

GroupTheory[Degree]

 


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