IsDihedral - Maple Help
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GroupTheory

  

IsDihedral

  

determine whether a permutation group is a dihedral group

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

IsDihedral( G )

Parameters

 G

-

a permutation group

Description

• 

The IsDihedral( G ) command determines whether the finite group G is isomorphic to a dihedral group of some (even) order, without using an (expensive) isomorphism test. It returns the value true if G is isomorphic to , for some positive integer , and returns false otherwise.

Examples

(1)

(2)

(3)

(4)

(5)

Any pair of involutions generates a dihedral group.

(6)

Compatibility

• 

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

• 

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

See Also

GroupTheory

GroupTheory[AreIsomorphic]

GroupTheory[DihedralGroup]

GroupTheory[Group]

GroupTheory[GroupOrder]

GroupTheory[McLaughlinGroup]

GroupTheory[QuaternionGroup]

 


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