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GroupTheory

  

Degree

  

return the degree of a permutation group

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

Degree( G )

Parameters

G

-

a permutation group

Description

• 

The degree of a permutation group is the cardinality of the set upon which it acts.  Since permutation groups act on sets of the form 1,2,,n, the degree is the positive integer n.

• 

The Degree( G ) command returns the degree of a permutation group G.

• 

Some group constructors, such as those for the symmetric and alternating groups take a degree parameter as input, and the Degree command returns this value.

Examples

withGroupTheory:

GGroupPerm1,2,Perm2,3,4

G1,2,2,3,4

(1)

DegreeG

4

(2)

DegreeDihedralGroup14

14

(3)

DegreeAlternatingGroup10

10

(4)

Compatibility

• 

The GroupTheory[Degree] command was introduced in Maple 17.

• 

For more information on Maple 17 changes, see Updates in Maple 17.

See Also

GroupTheory

GroupTheory[AlternatingGroup]

GroupTheory[DihedralGroup]

Perm

 


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