CyclicGroup( n )
CyclicGroup( n, s )
algebraic; understood to be a positive integer or infinity
(optional) equationof the form form="fpgroup" or form="permgroup" (the default)
A cyclic group is an abelian group generated by a single element. The CyclicGroup command returns a group, either as a permutation group, or a group defined by a generator and a relator, isomorphic to a cyclic group of order n.
By default, a permutation group is returned if n is finite, but you can specify that the cyclic group of order n be constructed as a finitely presented group by passing the option form = "fpgroup".
If n = infinity, then a finitely presented group is returned. It is an error to specify form = permgroup if the argument n is equal to infinity.
You can use the mindegree option to create cyclic permutation groups of much larger order than would be possible without this option. By default, mindegree = false but, if you pass mindegree = true (or just mindegree), then a permutation group of minimal degree which is cyclic of the indicated order is returned.
If n is neither infinity nor a positive integral constant, then a symbolic group representing a cyclic group of order equal to the expression n (which is taken to represent a positive integer) is returned.
In the Standard Worksheet interface, you can insert this group into a document or worksheet by using the Group Constructors palette.
Error, (in GroupTheory:-CyclicGroup) object too large in seq
G ≔ CyclicGroup⁡27⁢37⁢57,':-mindegree'
G ≔ CyclicGroup⁡2⁢k+4
The GroupTheory[CyclicGroup] command was introduced in Maple 17.
For more information on Maple 17 changes, see Updates in Maple 17.
Download Help Document
What kind of issue would you like to report? (Optional)