#15817: Bug in computation of moliens series
-------------------------+-------------------------------------------------
       Reporter:         |        Owner:
  nborie                 |       Status:  needs_review
           Type:         |    Milestone:  sage-6.4
  defect                 |   Resolution:
       Priority:         |    Merged in:
  critical               |    Reviewers:
      Component:  group  |  Work issues:
  theory                 |       Commit:
       Keywords:         |  6149bbdc55692816d9df2308d0c02d2028f3a37f
  moliens series         |     Stopgaps:
        Authors:         |
  Frédéric Chapoton      |
Report Upstream:  N/A    |
         Branch:         |
  u/chapoton/15817       |
   Dependencies:         |
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Comment (by chapoton):

 First one '''does not''' work.

 Second one '''does''' work correctly.

 The third example '''does not''' work. This is the trivial group.
 {{{
 sage: G = PermutationGroup([[(5,)]])
 sage: G
 Permutation Group with generators [()]
 sage: G.cardinality()
 1
 sage: G.molien_series()
 0
 }}}
 which does not look correct to me, should be `(1-x)**5`

 Maybe the current algo only work for groups with no fixed points ?

--
Ticket URL: <http://trac.sagemath.org/ticket/15817#comment:10>
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