construct a dicyclic group as a permutation group or a finitely presented group
DicyclicGroup( n )
DicyclicGroup( n, s )
algebraic; understood to be a positive integer
(optional) equation of the form form = "fpgroup" or form = "permgroup" (default)
The dicyclic group is a non-abelian group of order 4⁢n which contains a cyclic subgroup of order 2⁢n for n>1.
The DicyclicGroup( n ) command returns a dicyclic group, either as a permutation group (the default) or as a finitely presented group.
You can specify the form of the group returned explicitly by passing one of the options 'form' = "permgroup" or 'form' = "fpgroup".
If the parameter n is not a positive integer, then a symbolic group representing the dicyclic group of order 4*n is returned.
In the Standard Worksheet interface, you can insert this group into a document or worksheet by using the Group Constructors palette.
The GroupTheory[DicyclicGroup] command was introduced in Maple 17.
For more information on Maple 17 changes, see Updates in Maple 17.
The GroupTheory[DicyclicGroup] command was updated in Maple 2021.
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