My steps created matrices. The group PGL is implemented as a group of permutations.
I can make my question more accurate: I have a (symmetric) set of 2x2 matrices S over Fq. How can I find the spectrum of the Cayley graph of PGL(2,q) with respect to the set of generators S? On Monday, April 7, 2014 9:16:28 PM UTC+3, David Joyner wrote: > > On Mon, Apr 7, 2014 at 11:36 AM, Oren Becker > <oren....@gmail.com<javascript:>> > wrote: > > I would like to compute the spectrum of a certain Cayley graph on > PGL(2,q), for a certain prime power q. > > > > I created the generators of the graph as elements of GL(2,q). > > > > Why don't you redo your steps but change this step to use PGL instead of > GL? > > > Now, how do I get the spectrum of the Cayley graph on PGL(2,q)? I > thought to first create the Cayley graph using PGL.cayley_graph(), and then > take the spectrum. But, taking a quotient is not implemented on GL(2,q), so > I can't even move from GL to PGL. > > > > Of course, I can work hard to create the adjacency matrix, then take the > spectrum, but I'm hoping for an easier solution. > > > > (I am new to Sage). > > > > Thanks, > > Oren. > > > > -- > > You received this message because you are subscribed to the Google > Groups "sage-support" group. > > To unsubscribe from this group and stop receiving emails from it, send > an email to sage-support...@googlegroups.com <javascript:>. > > To post to this group, send email to > > sage-s...@googlegroups.com<javascript:>. > > > Visit this group at http://groups.google.com/group/sage-support. > > For more options, visit https://groups.google.com/d/optout. > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.