#15576: Semimonomial transformation groups code is sensitive to Permutations 
global
options
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   Reporter:  darij      |            Owner:
       Type:  defect     |           Status:  new
   Priority:  major      |        Milestone:  sage-6.1
  Component:  group      |         Keywords:  permutation, semimonomial
  theory                 |  transformation, groups
  Merged in:             |          Authors:
  Reviewers:             |  Report Upstream:  N/A
Work issues:             |           Branch:
     Commit:             |     Dependencies:
   Stopgaps:             |
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 As detailed in #14885, it is not healthy for code to rely on the `__mul__`
 operation on permutations, since this operation depends on the
 `Permutations().global_options()['mul']` variable which can change at
 runtime. It is better to use the `left_action_product` and
 `right_action_product` methods introduced in #15174 (formerly known as
 `_left_to_right_multiply_on_left` and `_left_to_right_multiply_on_right`).

 My tests show some dependence on the `__mul__` method in
 `sage/groups/semimonomial_transformations/semimonomial_transformation.pyx`
 and
 
`sage/groups/semimonomial_transformations/semimonomial_transformation_group.py`,
 although it might be that only one of these files depends on it and the
 other depends on the first file. Unfortunately I don't have time to study
 this in detail, as I'd first have to read up on the definitions.

--
Ticket URL: <http://trac.sagemath.org/ticket/15576>
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