Dear GAP-Forum,
Kaustuv M. Das wrote:
>
> Hi All:
>
> I am running GAP 3.4 on a Pentium 133 machine with 32 megs of memory (in
> a DOS window from within Windows 95). I am interested in getting hold of
> all the Sylow_3 subgroups of Sp_6(5),
> but whenever I try the GAP command:
>
> gap> SylowSubgroup(G,3);
>
> where G has been defined as :
>
> gap> G:=SymplecticGroup(6,5);
>
> I get an out of memory error (after the machine sits and thinks for about
> thirty hours). What am I doing wrong?
On my Pentium 133 with 32 Mb with OS/2 Ver 4 it takes approximately
4 hours to produce the following result
gap> G:=SymplecticGroup(6,5); SP(6,5) gap> SylowSubgroup(G,3); Subgroup( SP(6,5), [ [ [ Z(5)^2, Z(5), Z(5), Z(5)^2, 0*Z(5), Z(5) ], [ Z(5)^2, Z(5)^2, Z(5)^0, Z(5)^0, 0*Z(5), 0*Z(5) ], [ Z(5), Z(5)^2, Z(5), Z(5), Z(5)^0, Z(5)^2 ], [ Z(5), Z(5), 0*Z(5), Z(5), Z(5)^2, Z(5)^3 ], [ Z(5)^3, Z(5), Z(5), Z(5)^0, 0*Z(5), Z(5)^3 ], [ Z(5), Z(5)^3, Z(5), Z(5)^3, Z(5)^0, 0*Z(5) ] ], [ [ Z(5)^0, Z(5)^2, Z(5), 0*Z(5), Z(5)^3, Z(5)^0 ], [ 0*Z(5), 0*Z(5), Z(5), Z(5), Z(5)^3, Z(5)^2 ], [ Z(5)^3, 0*Z(5), Z(5)^2, 0*Z(5), Z(5)^0, Z(5)^2 ], [ Z(5)^3, Z(5)^2, Z(5)^3, 0*Z(5), Z(5)^2, Z(5)^2 ], [ Z(5)^0, Z(5)^2, Z(5)^0, Z(5), Z(5)^0, 0*Z(5) ], [ Z(5)^2, Z(5)^2, Z(5)^3, Z(5), Z(5)^0, Z(5)^2 ] ], [ [ 0*Z(5), Z(5), Z(5)^0, Z(5)^3, Z(5), Z(5)^2 ], [ Z(5)^2, 0*Z(5), Z(5)^2, Z(5)^2, Z(5), Z(5)^0 ], [ Z(5)^3, 0*Z(5), Z(5)^2, Z(5)^2, 0*Z(5), Z(5) ], [ Z(5)^0, Z(5)^0, Z(5)^3, 0*Z(5), 0*Z(5), 0*Z(5) ], [ Z(5)^2, Z(5)^0, Z(5)^3, Z(5), 0*Z(5), Z(5)^2 ], [ Z(5)^0, Z(5)^0, Z(5), Z(5)^3, 0*Z(5), Z(5)^0 ] ], [ [ 0*Z(5), Z(5)^3, Z(5)^3, Z(5)^2, Z(5)^2, 0*Z(5) ], [ Z(5)^0, Z(5)^0, 0*Z(5), Z(5)^2, Z(5)^2, Z(5)^2 ], [ Z(5)^0, Z(5), Z(5)^0, Z(5)^0, Z(5)^3, Z(5)^3 ], [ Z(5)^0, Z(5)^0, Z(5)^0, Z(5)^0, 0*Z(5), Z(5) ], [ Z(5)^3, Z(5)^2, 0*Z(5), Z(5), 0*Z(5), Z(5)^2 ], [ 0*Z(5), Z(5)^2, Z(5), Z(5)^3, Z(5), Z(5) ] ] ] ) gap>
The question, what you are doing wrong, seems to be that you run the wrong
operating system.
Norbert Dragon