IsCyclic - Maple Help
For the best experience, we recommend viewing online help using Google Chrome or Microsoft Edge.

Online Help

All Products    Maple    MapleSim


GroupTheory

  

IsCyclic

  

attempt to determine whether a group is cyclic

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

IsCyclic( G )

Parameters

G

-

a group

Description

• 

A group  is cyclic if it can be generated by a single element.

• 

The IsCyclic( G ) command attempts to determine whether the group G is cyclic.  It returns true if G is cyclic and returns false otherwise. The command may return FAIL on (most) finitely presented groups.

Examples

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

Compatibility

• 

The GroupTheory[IsCyclic] command was introduced in Maple 2015.

• 

For more information on Maple 2015 changes, see Updates in Maple 2015.

See Also

GroupTheory

GroupTheory[QuasicyclicGroup]

GroupTheory[SmallGroup]

GroupTheory[Subgroup]

with

 


Download Help Document