#15357: Methods for permutation group elements
--------------------------------+-------------------------
       Reporter:  nthiery       |        Owner:
           Type:  enhancement   |       Status:  new
       Priority:  major         |    Milestone:  sage-5.13
      Component:  group theory  |   Resolution:
       Keywords:                |    Merged in:
        Authors:                |    Reviewers:
Report Upstream:  N/A           |  Work issues:
         Branch:                |       Commit:
   Dependencies:                |     Stopgaps:
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Description changed by nthiery:

Old description:

> Add the following features to permutation group elements:
> {{{
>     def support(self):
>         """
>         Return the support of ``self`` that is the points that are not
> fixed.
>         """
>
>     def fixed_points(self): ?
>         ...
> }}}
>
> See also the discussion in #14319.

New description:

 Add the following features to permutation group elements:
 {{{
     def support(self):
         """
         Return the support of ``self`` that is the points that are not
 fixed.
         """

     def fixed_points(self): ?
         ...

     def cycle_type(self):
         """
         Return the cycle type of ``self``.
         """

 }}}

 Besides, for concistency with the {{{cycle_tuples}}} method, the
 {{{cycles}}} method could accept the option singleton. It's questionable
 whether we want to have those two very similar methods in the first place.

 See also the discussion in #14319.

--

--
Ticket URL: <http://trac.sagemath.org/ticket/15357#comment:1>
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