GroupTheory
SpecialSemilinearGroup
construct a permutation group isomorphic to the special semi-linear group over a finite field
Calling Sequence
Parameters
Description
Examples
SpecialSemilinearGroup(n, q)
SigmaL( n, q )
n
-
a positive integer
q
a power of a prime number
The special semi-linear group is the set of all semi-linear transformations of an -dimensional vector space over the field with elements whose linear part has determinant equal to .
If n and q are positive integers, then the SpecialSemilinearGroup( n, q ) command returns a permutation group isomorphic to the special semi-linear group . Otherwise, a symbolic group is returned, for which Maple can do some limited computations.
The abbreviation SigmaL( n, q ) is available as a synonym for SpecialSemilinearGroup( n, q ).
See Also
GroupTheory[GeneralSemilinearGroup]
GroupTheory[SpecialLinearGroup]
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