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GroupTheory

  

IsMetacyclic

  

attempt to determine whether a group is metacyclic

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

IsMetacyclic( G )

Parameters

G

-

a finite group

Description

• 

A group G is metacyclic if it is an extension of a cyclic group by another cyclic group.

• 

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

Examples

withGroupTheory:

IsMetacyclicSymm3

true

(1)

IsMetacyclicSymm4

false

(2)

IsMetacyclicMetacyclicGroup3,2,3

true

(3)

Compatibility

• 

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

• 

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

See Also

GroupTheory

GroupTheory[DerivedSubgroup]

GroupTheory[IsCyclic]

GroupTheory[IsSoluble]