construct a permutation group isomorphic to a projective general unitary group
a positive integer greater than 1
power of a prime number
The projective general unitary group PGU(n, q) is the quotient of the general unitary group GU(n, q) by its center.
The ProjectiveGeneralUnitaryGroup( n, q ) command returns a permutation group isomorphic to the projective general unitary group of degree n over the field with q2 elements. In general, this is not a transitive representation.
Note that for n=2 the groups PGU(n, q) and PGL(n, q) are isomorphic, so the latter is returned in this case.
The ranges for n and q which are implemented are as follows:
n = 2
q <= 100
n = 3
q <= 5
n = 4
q <= 4
n = 5,6
q = 2
The command PGU( n, q ) is provided as an abbreviation.
G ≔ PGU⁡4,4
G ≔ PGU4,4
The GroupTheory[ProjectiveGeneralUnitaryGroup] command was introduced in Maple 17.
For more information on Maple 17 changes, see Updates in Maple 17.
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