construct a permutation group isomorphic to a general unitary group
a positive integer
power of a prime number
The general unitary group GU⁡n,q (often denoted by U⁡n,q) is the group of all n×n matrices over the field with q2 elements, where q is a prime power, that respect a fixed nondegenerate sesquilinear form.
The GeneralUnitaryGroup( n, q ) command returns a permutation group isomorphic to the general unitary group GU⁡n,q for the implemented ranges of the parameters n and q.
The implemented ranges for n and q are as follows:
If either, or both, of n and q is non-numeric, then a symbolic group representing the general unitary group is returned.
In the Standard Worksheet interface, you can insert this group into a document or worksheet by using the Group Constructors palette.
Here is a general formula for the order of the general unitary group of dimension n over a field of order q.
The GroupTheory[GeneralUnitaryGroup] command was introduced in Maple 17.
For more information on Maple 17 changes, see Updates in Maple 17.
The GroupTheory[GeneralUnitaryGroup] command was updated in Maple 2020.
Download Help Document
What kind of issue would you like to report? (Optional)