#9292: Parabolic and reflection subgroups of Coxeter groups
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   Reporter:  nthiery        |       Owner:  sage-combinat
       Type:  enhancement    |      Status:  new          
   Priority:  major          |   Milestone:  sage-wishlist
  Component:  combinatorics  |    Keywords:               
     Author:                 |    Upstream:  N/A          
   Reviewer:                 |      Merged:               
Work_issues:                 |  
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Description changed by nthiery:

Old description:



New description:

 Potential interface:
 {{{
     sage: W = SymmetricGroup(5)
     sage: P = W.parabolic_subgroup((1,3,4))
     # TODO: add desired features here
     sage: TestSuite(P).run()
 }}}

 {{{
     sage: P = W.reflection_subgroup(<a list/family of reflections>)
     sage: TestSuite(P).run()
 }}}
 Proof of concept attached.

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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9292#comment:1>
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