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GroupTheory

  

IsElementary

  

attempt to determine whether a group is elementary Abelian

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

IsElementary( G )

Parameters

G

-

a permutation group

Description

• 

A group G is elementary if it is a finite Abelian group with prime exponent. Equivalently, G is elementary if it is a direct sum (product) of groups each of order equal to a fixed prime p.

• 

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

• 

The group G must be an instance of a permutation group.

Examples

withGroupTheory:

GSmallGroup32,1:

IsElementaryG

false

(1)

GSmallGroup17,1:

IsElementaryG

true

(2)

Compatibility

• 

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

• 

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

See Also

GroupTheory

GroupTheory[IsAbelian]