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GroupTheory

  

IsTransitive

  

determine whether a permutation group is transitive

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

IsTransitive( G )

Parameters

G

-

a permutation group

Description

• 

A permutation group G (acting on the set1,2,,n is transitive if, for any α and β, there is a permutation g in G for which αg=β. Alternatively, G is transitive if it has precisely one orbit.

• 

The IsTransitive( G ) command returns true if the permutation group G is transitive, and returns false otherwise. The group G must be an instance of a permutation group.

Examples

withGroupTheory:

GPermutationGroup1,2,1,2,3,4,5

G1,2,1,2,34,5

(1)

IsTransitiveG

false

(2)

IsTransitiveAlternatingGroup4

true

(3)

Compatibility

• 

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

• 

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

See Also

GroupTheory

GroupTheory[Orbit]