[GAP Forum] Question

[Alexander Hulpke]

Dear GAP Forum,

On Jul 18, 2010, at 3:15 PM, Lisette Brillemans wrote:

> Is there a command to enter a group like
> 
> S:=Group((1,2,3,4,5,6,7,8,9,10)); at once.
> 
> For instance a command like:
> 
> S:=Group([1..10]) or so?

If you just want a cyclic group you can use
CyclicGroup(IsPermGroup,10);

(Omitting `IsPermGroup' yields an isomorphic group in a different representation).

The `generic' command taking a degree would be 
SymmetricGroup(10)
yielding the group of all permutations.

Best,

   Alexander Hulpke

-- Colorado State University, Department of Mathematics,
Weber Building, 1874 Campus Delivery, Fort Collins, CO 80523-1874, USA
email: hulpke at math.colostate.edu, Phone: ++1-970-4914288
http://www.math.colostate.edu/~hulpke