construct a permutation group isomorphic to a projective special unitary group
ProjectiveSpecialUnitaryGroup( n, q )
PSU( n, q )
a positive integer
power of a prime number
The projective special unitary group PSUn,q, over the field with q2 elements, is the quotient of the special unitary group SUn,q by its center.
Note that for n=2 the groups PSUn,q and PSLn,q are isomorphic.
The ProjectiveSpecialUnitaryGroup( n, q ) command returns a permutation group isomorphic to the projective special unitary group PSUn,q for values of the parameters n and q in the implemented ranges.
The implemented ranges for n and q are as follows:
If either or both of the arguments n and q are non-numeric, then a symbolic group representing the projective special unitary group is returned.
The command PSU( n, q ) is provided as an abbreviation.
G ≔ ProjectiveSpecialUnitaryGroup⁡3,3
G ≔ PSU3,3
The GroupTheory[ProjectiveSpecialUnitaryGroup] command was introduced in Maple 17.
For more information on Maple 17 changes, see Updates in Maple 17.
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