[GAP Forum] Question

[Lisette Brillemans]

Dier Max,

Thank you for your reply.
Indeed the answers already given were very helpful to me.]

Group theory for me is a "hobby", something exciting to explore.
Groups have really very very very deep structures and properties.
That's what fascinates me.

With regards,

Lisette


> Hi,
> 
> 
> Am 19.07.2010 um 10:27 schrieb Lisette Brillemans:
> 
> [...]
> 
> > 
> > So I would like to ask the forum again: Is it possible to do something
> > like (and how??):
> > 
> > gap> G:=Group([1..10]);
> 
> Alexander Hulpke already explained that you can do:
>   CyclicGroup(IsPermGroup,10);
> 
> But maybe you do not just want cyclic groups. In that case, you might want to tell us a bit more about what it is that you want to achieve, with less artificial examples.
> 
> 
> > gap? G:=SymmetricGroup([1..10]);
> 
> This command works as you typed it, and will return a symmetric group on the points 1 to 10. You can also specify other (integer) sets to get a symmetric group acting on those:
> 
>   G:=SymmetricGroup([5,7,12]);
> 
> > 
> > etc.
> > (and especially with 100 instead of 10 and so.)
> 
> G1 := CyclicGroup(IsPermGroup,100);
> G2 := SymmetricGroup(100);
> 
> Again, that's only for the specific case you asked. Dan, Alexander and Max N. already gave some easily working examples as to how to tackle the general case.
> 
> Bye,
> Max