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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 G 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

withGroupTheory:

GSmallGroup6,1:

IsCyclicG

false

(1)

IsCyclicSmallGroup6,2

true

(2)

Ga|a6=1

Gaa6

(3)

IsCyclicG

true

(4)

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[SmallGroup]

with