On Thu, Aug 18, 2011 at 3:12 PM, John Cremona <john.crem...@gmail.com> wrote: > I wanted to work in the group PGL(2,q), and got off to a good start: > > > sage: G = PGL(2,13) > sage: G.order().factor() > 2^3 * 3 * 7 * 13 > sage: G.order() == 13*(13^2-1) > True > > but I could not create elements of G, which seemed to think they were > permutations!
I believe this is the way GAP does things. > > sage: G.identity() > () > sage: G.an_element() > (3,14,13,12,11,10,9,8,7,6,5,4) > sage: type(G.an_element()) > <type 'sage.groups.perm_gps.permgroup_element.PermutationGroupElement'> > > Now I am not a group theorist, but this just seems bizarre! I am in > fact quite interested in the action of this G on P^1(GF(13)), but > also expected to be able to work with its elements as matrices (mod > scalars). > > Am I doing something wrong? I don't think so, but perhaps your problem can be translated into one regarding GL(2,13)? > > John > > [Sage 4.7 on ubuntu, built from source] > > -- > To post to this group, send email to sage-support@googlegroups.com > To unsubscribe from this group, send email to > sage-support+unsubscr...@googlegroups.com > For more options, visit this group at > http://groups.google.com/group/sage-support > URL: http://www.sagemath.org > -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
