[GAP Forum] Special unitary groups

[David Joyner]

Try |IsomorphismPermGroup:|

gap> G:=SpecialUnitaryGroup(4,2);
SU(4,2)
gap> iso:=IsomorphismPermGroup(G);
<action epimorphism>
gap> image:= Image( iso );;


For more details, see section 40.2 of the reference manual.

++++++++++++++++++++++

Tom Hoffman wrote:
> Does anyone know how to get a permutation representation of a special unitary
> group in GAP? The manual says that the command SpecialUnitaryGroup will take a
> filter as its first argument but when I tried this I got the following
>
> GAP4, Version: 4.4.6 of 02-Sep-2005, i686-pc-linux-gnu-gcc
> gap> SpecialUnitaryGroup(IsPermGroup, 4,2);
> Error, no method found! For debugging hints type ?Recovery from NoMethodFound
> Error, no 1st choice method found for `SpecialUnitaryGroupCons' on 3 arguments\
>  called from
> SpecialUnitaryGroupCons( arg[1], arg[2], arg[3] ) called from
> <function>( <arguments> ) called from read-eval-loop
> Entering break read-eval-print loop ...
> you can 'quit;' to quit to outer loop, or
> you can 'return;' to continue
> brk>
>
> Any help would be appreciated.
> Tom
>
>
> Dr. Thomas R. Hoffman
> Department of Mathematics and Statistics
> Coastal Carolina University
>
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