Add group constructors PGammaL, PSigmaL, and their methods for permutation groups
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These groups are sometimes useful. For example their names occur in the library of primitive groups, and also the character table library can take advantage of these names and then the groups themselves. Currently only constructions as permutation groups are available, as for the case of PGL and PSL; this is sufficient in the abovementioned contexts.
ThomasBreuer
added
kind: enhancement
hulpke
approved these changes
Jan 11, 2021
ThomasBreuer
changed the title
PGammaL, PSigmaL, and their methods for permutation groups.
ThomasBreuer
added
release notes: added
fingolfin
changed the title
PGammaL, PSigmaL, and their methods for permutation groups.PGammaL, PSigmaL, and their methods for permutation groups
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These groups are sometimes useful.
For example their names occur in the library of primitive groups,
and also the character table library can take advantage of these names
and then the groups themselves.
Currently only constructions as permutation groups are available,
as for the case of PGL and PSL;
this is sufficient in the abovementioned contexts, where both the dimension and the field are small.
Text for release notes
The functions
PGammaLandPSigmaLcan be used to create groups isomorphic with the projective general semilinear group and the projective special semilinear group, respectively, over finite fields.