#18584: Iterator through magma elements
-------------------------------------+-------------------------------------
       Reporter:  stumpc5            |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  major              |    Milestone:  sage-6.8
      Component:  combinatorics      |   Resolution:
       Keywords:  sagedays64.5       |    Merged in:
        Authors:  Christian Stump    |    Reviewers:
Report Upstream:  N/A                |  Work issues:  document
         Branch:                     |       Commit:
  u/stumpc5/iterator_through_magma_elements|  
154e2ea9207b5bedcb2bf38fe899d139d1159012
   Dependencies:                     |     Stopgaps:
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Comment (by nthiery):

 Replying to [comment:14 stumpc5]:
 > > Christian: what's your use case?
 >
 > I wanted (back when writing the never-finished-coxeter-group-stuff) to
 use an iterator through the reflection group, keeping track of the used
 word along the way.

 Ok; so having it on a semigroup is enough for you.

 > > Which raises a good question: could we implement this with the current
 RecursivelyEnumeratedSet?
 >
 > Sorry, could you point to which question you refer? The way the iterator
 is implemented, or implementing a flag to attach the used word to the
 output?

 My question was about the implementation of an iterator over a finitely
 generated magma using only `RecursivelyEnumeratedSet`. But if there is no
 explicit need for this feature right now, we might as well not worry about
 it.

 Cheers,
                                Nicolas

--
Ticket URL: <http://trac.sagemath.org/ticket/18584#comment:15>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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