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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 G is metabelian if it is an extension of an Abelian group by another Abelian group.  Equivalently, G is metabelian if its derived subgroup is Abelian.

• 

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

withGroupTheory:

IsMetabelianSymm4

false

(1)

IsMetabelianAlt4

true

(2)

Compatibility

• 

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

• 

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

See Also

GroupTheory

GroupTheory[DerivedSubgroup]

GroupTheory[IsAbelian]