Dear GAP Forum, I am very tahnkful to Peter, Stefan and Steve for helping me out. Now I am able to do this through GeneratorsOfGroup and SmallGeneratingSet , but I am still getting the error message for MinimalGeneratingSet (thats ok, i will keep it on hold for moment).
I have two more doubts : ## How to get the matrices from the output generated by GeneratorsOfGroup for the Special Linear Group; like for SL(2,17) : s:=SL(2,17); gens:=GeneratorsOfGroup(s); [ [ [ Z(17), 0*Z(17)], [ 0*Z(17), Z(17)^15 ] ], [ [ Z(17)^8, Z(17)^0], [Z(17)^8, 0*Z(17)] ] ] this is the output we are getting, now hwo to get the matrices from it which can generate the whole set of SL(2,17) ?? (with the elements' values from 0 to 16.) ## How can we store this output of matrices in a file and make use of them in Matlab program ?? like storing the matrices now generated in a 3d-array and then later using them in Matlab. Thank you again for helping me out. Regards, Piyush Garg. On Mon, Jun 6, 2011 at 7:51 PM, Stephen Linton <s...@cs.st-andrews.ac.uk>wrote: > Dear GAP Forum, > > As Peter has already reported, if you simply want a generating set then > GeneratorsOfGroup is the appropriate function. > As you will see from the documentation (try ?GeneratorsSmallest for > instance), the functions you called: GeneratorsSmallest and > MinimalGeneratingSet > make much stronger promises about the result, which GAP has to do much more > work to achieve. > > An intermediate choice is SmallGeneratingSet, which tries heuristically to > reduce the size of the set it returns, but makes no firm promises. > > The error message from MinimalGeneratingSet is confusing, but, in fact GAP > has no way to compute this function for general groups. In the next release > you will get the rather more helpful error message: > > Error, `MinimalGeneratingSet' currently assumes that the group must be > solvable. > In general, try `SmallGeneratingSet' instead, which returns a generating > set that is small but not of guarateed smallest cardinality > > It is also possible, looking at the error message that you have mixed up g > and G. Remember that GAP is case-sensitive. > > Yours > > Steve Linton _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
