GroupTheory
Degree
return the degree of a permutation group
Calling Sequence
Parameters
Description
Examples
Compatibility
Degree( G )
G
-
a permutation group
The degree of a permutation group is the cardinality of the set upon which it acts. Since permutation groups act on sets of the form 1,2,…,n, the degree is the positive integer n.
The Degree( G ) command returns the degree of a permutation group G.
Some group constructors, such as those for the symmetric and alternating groups take a degree parameter as input, and the Degree command returns this value.
with⁡GroupTheory:
G≔Group⁡Perm⁡1,2,Perm⁡2,3,4
G≔1,2,2,3,4
Degree⁡G
4
Degree⁡DihedralGroup⁡14
14
Degree⁡AlternatingGroup⁡10
10
The GroupTheory[Degree] command was introduced in Maple 17.
For more information on Maple 17 changes, see Updates in Maple 17.
See Also
GroupTheory[AlternatingGroup]
GroupTheory[DihedralGroup]
Perm
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