[GAP Forum] primitive permutation groups of small degree

[William DeMeo]

Dear Roghiyeh,

Check out the documentation at

http://www.gap-system.org/Manuals/doc/htm/ref/CHAP048.htm#SECT009

For example, say you want to run through all primitive groups of
degree less than 20, and do something with each one, you could do

for i in [1..19] do
  n:=NrPrimitiveGroups(i);
  for j in [1..n] do
    G:=PrimitiveGroup(i,j);
    ... do something with G ...
  od;
od;

Alternatively, you can get a list of all primitive groups with certain
properties; e.g. a list of primitive groups of degree less than 20
with affine O'Nan-Scott type is obtained as follows:

AllPrimitiveGroups( NrMovedPoints, [1..19], ONanScottType, "1" );

See the relevant documentation at

http://www.gap-system.org/Manuals/doc/htm/ref/CHAP041.htm#SECT004

and

http://www.gap-system.org/Manuals/doc/htm/ref/CHAP048.htm#I2

Hope that helps.

-William


On Fri, Jun 8, 2012 at 7:36 PM, Roghiyeh Adhamy <r_adhamy at yahoo.com> wrote:
> Dear GAP-Forum,
>
> I want to work with 'Primitive Permutation Groups of small degree (20 or less)'.
> Is there any pakage related to them?
> I want to determine all primitive groups with degree less than 20.
>
> thanks
> Adhamy
> _______________________________________________
> Forum mailing list
> Forum at mail.gap-system.org
> http://mail.gap-system.org/mailman/listinfo/forum



-- 
William J. DeMeo, Ph.D.
Department of Mathematics
University of Hawaii at Manoa
phone: 808-298-4874
url: http://math.hawaii.edu/~williamdemeo