#18972: twographs and Seidel switching
-------------------------------------+-------------------------------------
       Reporter:  dimpase            |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.9
      Component:  graph theory       |   Resolution:
       Keywords:                     |    Merged in:
        Authors:                     |    Reviewers:  Nathann Cohen
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/dimpase/seidelsw                 |  3350efc6229a8a584774cd452d3d33ee4f5f26bc
   Dependencies:  #18960, #18948,    |     Stopgaps:
  #18988, #18991, #18986, #19018,    |
  #19019                             |
-------------------------------------+-------------------------------------

Comment (by dimpase):

 Replying to [comment:105 ncohen]:
 > > The other is tricky: the problem is that `SRG_280_135_70_60()` needs
 an optional GAP package, as is clear from `gap.load_package("AtlasRep")`
 there.
 > > How do you like this fixed?
 >
 > `-_-`
 >
 > Well, ideally it would be really cool if we could build it from Sage
 only. Couldn't we take Gap's generators and have them in the `JankoGroup`
 class?

 Yes we can (for Janko 1, 2, 3 then, not only 2). How about
 `groups.permutation.Janko(k)` getting an extra parameter, `degree`?
 Then `groups.permutation.Janko(k)` will give what the do now, and
 `groups.permutation.Janko(k,degree=blah)` will give a permutation
 representation of Janko(k)
 of degree blah (if one is known to Sage).
 Actually, there is no need to store permutations on 280 points, we can get
 by with ones on 100 points, and generate the former on the fly, as an
 action on sets.

 But this begs for another ticket.
 Should I open one?

--
Ticket URL: <http://trac.sagemath.org/ticket/18972#comment:106>
Sage <http://www.sagemath.org>
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