[GAP Forum] Generating Set for Special Linear Groups

[Piyush garg]

hii,

I am using GAP for the very first time and facing problem in computing the
generating set for the Special Linear Groups : SL(n,q) , defined over the
finite fields.

I have to find the generating set for the Special Linear group with given
values of 'n' and 'q'.
I was to able to do this for SL(2,13) by using
g:=SL(2,13);
GeneratorsSmallest(g);

but when i made use of MinimalGeneratingSet(g); it showed an error :

Error, no method found! For debugging hints type ?Recovery from
NoMethodFound
Error, no 2nd choice method found for `IndependentGeneratorsOfAbelianGroup'
o
n 1 arguments called from
IndependentGeneratorsOfAbelianGroup( G ) 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

and on using SmallGeneratingSet(g); it showed the following error :

Variable : <debug-variable-1024-2> must have a value

Can anyone please help out with the Minimal Generating Set thing and how to
remove the error.

Thanking you,
Piyush garg.