GAP Forum: Re: Sylow-3 Subgroups

> < ^ Date: Tue, 11 Mar 1997 11:24:48 +0100
^ From: Norbert Dragon <dragon@itp.uni-hannover.de >
> < ^ Subject: Re: Sylow-3 Subgroups

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

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