IsMetabelian - Maple Help
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GroupTheory

  

IsMetabelian

  

attempt to determine whether a group is metabelian

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

IsMetabelian( G )

Parameters

G

-

a group

Description

• 

A group  is metabelian if it is an extension of an Abelian group by another Abelian group.  Equivalently,  is metabelian if its derived subgroup is Abelian. Note that every abelian group is metabelian.

• 

The IsMetabelian( G ) command attempts to determine whether the group G is metabelian.  It returns true if G is metabelian and returns false otherwise.

Examples

(1)

(2)

(3)

(4)

(5)

(6)

Compatibility

• 

The GroupTheory[IsMetabelian] command was introduced in Maple 2019.

• 

For more information on Maple 2019 changes, see Updates in Maple 2019.

• 

The GroupTheory[IsMetabelian] command was updated in Maple 2023.

See Also

GroupTheory

GroupTheory[DerivedSubgroup]

GroupTheory[IsAbelian]

 


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