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GroupTheory

  

TrivialGroup

 

Calling Sequence

Description

Examples

Compatibility

Calling Sequence

TrivialGroup()

TrivialGroup( form = F )

Description

• 

The trivial group is the unique (up to isomorphism) group of order 1.

• 

The TrivialGroup() command returns a trivial group.

• 

The form = F option controls the type of group returned. By default, a permutation group (with empty generating set) is returned; this is the same as using the form = "permgroup" option. If the form = "fpgroup" option is passed, then a trivial finitely presented group is returned, with empty sets of generators and relators. Finally, you can explicitly request a symbolic trivial group by using the form = "symbolic" option.

Examples

withGroupTheory:

TrivialGroup

(1)

GroupOrderTrivialGroup

1

(2)

TTrivialGroupform=fpgroup

T

(3)

GeneratorsT

(4)

RelatorsT

(5)

Compatibility

• 

The GroupTheory[TrivialGroup] command was introduced in Maple 17.

• 

For more information on Maple 17 changes, see Updates in Maple 17.

See Also

GroupTheory[GroupOrder]

GroupTheory[SymmetricGroup]