construct a permutation group isomorphic to a projective general linear group
a positive integer
power of a prime number
The projective general linear group PGL⁡n,q is the quotient of the general linear group GL⁡n,q by its center.
The ProjectiveGeneralLinearGroup( n, q ) command returns a permutation group isomorphic to the projective general linear group PGL⁡n,q . The PGL(n, q) command is provided as an alias.
The ranges for n and q are as follows:
If either of n or q is non-numeric, then a symbolic group is returned.
In the Standard Worksheet interface, you can insert this group into a document or worksheet by using the Group Constructors palette.
Several among the small projective general linear groups are isomorphic to some familiar permutation groups.
The GroupTheory[ProjectiveGeneralLinearGroup] command was introduced in Maple 17.
For more information on Maple 17 changes, see Updates in Maple 17.
The GroupTheory[ProjectiveGeneralLinearGroup] command was updated in Maple 2020.
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