#9694: Implement direct product of cyclic groups
----------------------------+-----------------------------------------------
   Reporter:  rbeezer       |       Owner:  joyner    
       Type:  enhancement   |      Status:  needs_info
   Priority:  major         |   Milestone:  sage-4.5.2
  Component:  group_theory  |    Keywords:            
     Author:                |    Upstream:  N/A       
   Reviewer:                |      Merged:            
Work_issues:                |  
----------------------------+-----------------------------------------------
Changes (by rbeezer):

 * cc: was, davidloeffler, cremona (added)
  * status:  new => needs_info


Comment:

 Patch is a rough cut. Requires something in the 4.5.2 alpha/rc series to
 work.

 Posted here because of the hack to avoid having the {{{__call__}}}
 function in the derived class not get called during the initialization.

 Somewhere (once per invariant, I think) the creation of the optimized
 quotient module has a "self()" call that reaches all the way down into
 this class and if the optimized module is used for conversion, it just
 causes infinite recursion.  (Also happens with saving _orig_gens but that
 is more obvious).

 Need for the conversion is described more fully at #9695.  Help or advice
 needed!

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9694#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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