GroupTheory
IsElementary
attempt to determine whether a group is elementary Abelian
Calling Sequence
Parameters
Description
Examples
Compatibility
IsElementary( G )
G
-
a finite group
A group is elementary if it is a finite Abelian group with prime exponent. Equivalently, is elementary if it is a direct sum (product) of groups each of order equal to a fixed prime .
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, a Cayley table group or a finite, finitely presented group.
The GroupTheory[IsElementary] command was introduced in Maple 17.
For more information on Maple 17 changes, see Updates in Maple 17.
See Also
GroupTheory[IsAbelian]
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