Re: [sage-devel] Re: Matrix groups from GAP

2012-07-20 Thread Dima Pasechnik
On Thursday, 19 July 2012 19:33:48 UTC+8, Javier López Peña wrote: > > On Thursday, July 19, 2012 9:52:26 AM UTC+1, Dima Pasechnik wrote: >> >> let me nitpick first by saying that in group theory >> "presentation" means "presentation by generators and >> relations" whereas you mean a (linear) "r

Re: [sage-devel] Re: Matrix groups from GAP

2012-07-19 Thread Rob Beezer
On Thursday, July 19, 2012 8:47:20 AM UTC-7, Nathann Cohen wrote: > > If nobody needs it before I will probably write the patch when I am back > from traveling, something around mid september. Cool, Cool, Cool ! :-) > > Dear Nathan, It'd sure be great to have automorphism groups of gr

Re: [sage-devel] Re: Matrix groups from GAP

2012-07-19 Thread Rob Beezer
Thanks everyone for your helpful posts, which came in overnight. We have the classical groups (GL, SL,...) from GAP as groups of matrices (in a natural way) and we have the projective versions (PGL, PSL,...) from GAP as permutation groups. Testing indicates you cannot switch it around (project

[sage-devel] Re: Matrix groups from GAP

2012-07-19 Thread Keshav Kini
Nathann Cohen writes: >> Wasn't this supposed to be implemented by trac #10335? >> http://trac.sagemath.org/sage_trac/ticket/10335 > > Ahem :-P > > Then it's just that Graph.automorphism_group does not know it. And it > is trivial to update it then. Nice !! And thanks for the > tip !!

Re: [sage-devel] Re: Matrix groups from GAP

2012-07-19 Thread Nathann Cohen
> Wasn't this supposed to be implemented by trac #10335? > http://trac.sagemath.org/sage_trac/ticket/10335 Ahem :-P Then it's just that Graph.automorphism_group does not know it. And it is trivial to update it then. Nice !! And thanks for the tip !! If nobody needs it before I will p

[sage-devel] Re: Matrix groups from GAP

2012-07-19 Thread Keshav Kini
Nathann Cohen writes: > (and if I may interrupt, we also really need to be able to deal with > permutation groups on something *different* from 1...n, which is > GAP's choice. > And I know that I am the first one to complain about labels instead > of integers when it comes to a graph's vertices. >

[sage-devel] Re: Matrix groups from GAP

2012-07-19 Thread Nathann Cohen
(and if I may interrupt, we also really need to be able to deal with permutation groups on something *different* from 1...n, which is GAP's choice. And I know that I am the first one to complain about labels instead of integers when it comes to a graph's vertices. And I know that it is a nightma

Re: [sage-devel] Re: Matrix groups from GAP

2012-07-19 Thread Javier López Peña
On Thursday, July 19, 2012 9:52:26 AM UTC+1, Dima Pasechnik wrote: > > let me nitpick first by saying that in group theory > "presentation" means "presentation by generators and > relations" whereas you mean a (linear) "representation". > Fine, maybe I should have use "realization" or "imploement

Re: [sage-devel] Re: Matrix groups from GAP

2012-07-19 Thread Nicolas Borie
Le 19/07/2012 11:17, Simon King a écrit : Hi! On 2012-07-19, Dima Pasechnik wrote: let me nitpick first by saying that in group theory=20 "presentation" means "presentation by generators and relations" whereas you mean a (linear) "representation". In this way of thinking, the most compact way

[sage-devel] Re: Matrix groups from GAP

2012-07-19 Thread Simon King
Hi! On 2012-07-19, Dima Pasechnik wrote: > let me nitpick first by saying that in group theory=20 > "presentation" means "presentation by generators and > relations" whereas you mean a (linear) "representation". > > In this way of thinking, the most compact way to represent Z_n is by > generators

Re: [sage-devel] Re: Matrix groups from GAP

2012-07-19 Thread Dima Pasechnik
On Thursday, 19 July 2012 15:37:32 UTC+8, Javier López Peña wrote: > > I understand that from some point of view mixing groups and > their representations is a bad idea, but many groups are naturally > defined as transformation groups and using a matrix presentation > is just as natural as descri

Re: [sage-devel] Re: Matrix groups from GAP

2012-07-19 Thread Javier López Peña
I understand that from some point of view mixing groups and their representations is a bad idea, but many groups are naturally defined as transformation groups and using a matrix presentation is just as natural as describing them by permutations, or even more so. Not to mention the huge size som

Re: [sage-devel] Re: Matrix groups from GAP

2012-07-18 Thread Julien Puydt
Le 19/07/2012 08:22, Dima Pasechnik a écrit : It looks like a hack. IMHO representations and groups themselves should not be mixed in one glass. I agree on both points : (1) mixing things in the same glass sometimes gives unwanted results ; (2) putting both representations and groups in the sa

[sage-devel] Re: Matrix groups from GAP

2012-07-18 Thread Dima Pasechnik
On Thursday, 19 July 2012 08:13:04 UTC+8, Rob Beezer wrote: > > I'm working (along with a summer research student) to expand the > collection of small groups (and their representations) in Sage. A question > about matrix groups, as built by GAP for Sage. > > For small, not-very-sophisticated g