Dear Lisette, if you want to save typing, simply define a function making the group:
MyCycGrp := function(n) return Group(PermList(Concatenation([2..n],[1]))); end; (this can simply be typed in or saved in a file and read with the "Read" command). Then a simple gap> MyCycGrp(100); <permutation group with 1 generators> gap> Size(last); 100 does the job. I hope this helps. Cheers, Max. On Mon, Jul 19, 2010 at 10:27:11AM +0200, Lisette Brillemans wrote: > Dear Dan, dear Forum, > > Thank you for your reply. > This does it indeed. But: > > gap> G := Group(PermList(List([1..10], i->(i mod 10)+1)); > > is a very long and complicated line. Furthermore, what does NOT work (of > course...) is: > > gap> G := SymmetricGroup(PermList(List([1..10], i->(i mod 10)+1)); > > So I would like to ask the forum again: Is it possible to do something > like (and how??): > > gap> G:=Group([1..10]); > gap? G:=SymmetricGroup([1..10]); > > etc. > (and especially with 100 instead of 10 and so.) > > > with regards, > > Lisette > > > > Dear Lisette, Dear Forum, > > > > On Mon, Jul 19, 2010 at 8:57 AM, Alexander Hulpke <ahul...@gmail.com> > > wrote: > > 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); > > > > Alternatively, you could use "List" to construct a list describing the > > permutation you are interested in: > > gap> x := List([1..10], i->(i mod 10)+1); > > [ 2, 3, 4, 5, 6, 7, 8, 9, 10, 1 ] > > (this list means that 1 goes to x[1]=2, 2 goes to x[2] = 3, etc. Then > > use PermList to turn it into a permutation: > > gap> PermList(x); > > (1,2,3,4,5,6,7,8,9,10) > > see http://www.gap-system.org/Manuals/doc/htm/ref/CHAP040.htm#SECT004 for > > the documentation for PermList. We then use Group to construct the group > > generated by that permutation: > > gap> G := Group(PermList(x)); > > Group([ (1,2,3,4,5,6,7,8,9,10) ]) > > gap> Size(G); > > 10 > > > > > > Hope this helps. > > > > > > Kind regards, > > Dan > > > > > > _______________________________________________ > Forum mailing list > Forum@mail.gap-system.org > http://mail.gap-system.org/mailman/listinfo/forum -- Max Neunhoeffer http://www-groups.mcs.st-and.ac.uk/~neunhoef/ > > > > > > > > > > > May the Source be with you! < < < < < < < < < < < < The University of St Andrews is a registered Scottish charity: No SC013532 _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
