GroupTheory/IsFinitelyGenerated - Maple Help
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GroupTheory

  

IsFinitelyGenerated

  

determine whether a group is finitely generated

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

IsFinitelyGenerated( G )

Parameters

G

-

group

Description

• 

A group G is said to be finitely generated if it can be generated by a finite subset of its elements.

• 

The IsFinitelyGenerated( G ) command returns true if the group G is finitely generated, and returns the value false otherwise.

Examples

withGroupTheory:

IsFinitelyGeneratedPSp4,3

true

(1)

IsFinitelyGeneratedSymm30

true

(2)

IsFinitelyGeneratedQuasicyclicGroup37

false

(3)

IsFinitelyGenerateda,b|`.`a2,b2,a3,b3=1

true

(4)

See Also

GroupTheory[ProjectiveSpecialLinearGroup]

GroupTheory[SymmetricGroup]