#13115: "groups" object for organizing examples of groups
--------------------------------+-------------------------------------------
       Reporter:  rbeezer       |         Owner:  joyner      
           Type:  enhancement   |        Status:  needs_review
       Priority:  minor         |     Milestone:  sage-5.3    
      Component:  group theory  |    Resolution:              
       Keywords:                |   Work issues:              
Report Upstream:  N/A           |     Reviewers:              
        Authors:  Rob Beezer    |     Merged in:              
   Dependencies:                |      Stopgaps:              
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Comment (by rbeezer):

 v3 patch is still in-progress, though I am not sure if I'll go for an
 exhaustive list before marking this "needs review."  Please comment before
 I get carried away and do a lot of repetitive stuff that needs to be
 reworked.

 1.  This is really more of a documentation and organization improvement,
 mostly targeting folks (students) who are not group theory experts.  So
 there are some illustrative doctests, but for established groups things
 like doctesting error messages are left for the originating class.
 1.  Settled on '''not''' using "Group" in the titles, it feels redundant
 and I have the same sentiment as Nathann about the graphs object.
 1.  Added a "graphs.sporadic" object which could house the 26 sporadic
 groups.  I've used their common names as used in the classification
 results.
 1.  One sporadic group (Higman-Sims) is built as subgroup of an
 automorphism group of a graph.  Not sure how many more of these could be
 done this way (or on designs, or...).
 1.  Two sporadic groups done by grabbing generators from the ATLAS.  I'll
 check about permission before going too far down this path (yes, the
 optional !AtlasRep package will do this, but requires network access - I
 want this to be easy for the neophyte).  Current approach is not
 sustainable for the larger groups, and unknown it appears for the Monster.
 I'd stick to the smaller ones.  For example, Co1 seems to take several
 minutes to create using this approach.
 1.  Partially implemented a keyword for alternate representations of the
 sporadic groups.  Likely will flesh that out, but do not plan to provide
 the actual alternates.

 Passes tests, but not ready yet for review.  I am interested in huge
 blunders, strong opinions, and input from potential reviewers.

 Thanks,
 Rob

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13115#comment:11>
Sage <http://www.sagemath.org>
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