GroupTheory
IsMetabelian
attempt to determine whether a group is metabelian
Calling Sequence
Parameters
Description
Examples
Compatibility
IsMetabelian( G )
G
-
a group
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.
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[DerivedSubgroup]
GroupTheory[IsAbelian]
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