AlternatingGroup( n, formopt )
Alt( n, formopt )
algebraic; understood to be a positive integer
(optional) equation of the form form = F, where F is either "permgroup" (the default) or "fpgroup"
The alternating group An on n elements is the set of all even permutations of1,2,…,n for a positive integer n. The order of An is equal to n!2, for 1<n. The alternating group of degree n is simple if n is at least 5.
The AlternatingGroup( n ) command returns an alternating permutation group of degree n. You can also use Alt( n ) as an abbreviation of AlternatingGroup( n ).
The form = F option controls the form of the group returned. By default, a permutation group is returned; this is equivalent to passing the option form = "permgroup". A finitely presented group can be obtained by passing the option form = "fpgroup".
If the argument n is not an integer constant, then a symbolic group is returned. In this case, the form option is ignored.
In the Standard Worksheet interface, you can insert this group into a document or worksheet by using the Group Constructors palette.
If the argument to the constructor is not a literal integer, then a symbolic group is returned.
The GroupTheory[AlternatingGroup] 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)