#10911: inverse() method for permutation group elements
----------------------------+-----------------------------------------------
   Reporter:  rbeezer       |       Owner:  joyner  
       Type:  defect        |      Status:  new     
   Priority:  minor         |   Milestone:  sage-4.7
  Component:  group theory  |    Keywords:          
     Author:                |    Upstream:  N/A     
   Reviewer:                |      Merged:          
Work_issues:                |  
----------------------------+-----------------------------------------------
 Patch aims to resolve the following inconsistency, by providing a
 `.inverse()` method for permutation group elements.

 {{{
 sage: S = SymmetricGroup(4)
 sage: s = S("(1,2,3)")
 sage: type(s)
 <type
 'sage.groups.perm_gps.permgroup_element.PermutationGroupElement'>
 sage: s^-1
 (1,3,2)
 sage: s.inverse()
 (1,3,2)

 sage: A = AlternatingGroup(4)
 sage: a = A("(1,2,3)")
 sage: type(a)
 <type
 'sage.groups.perm_gps.permgroup_element.PermutationGroupElement'>
 sage: a^-1
 (1,3,2)
 sage: a.inverse()
 ---------------------------------------------------------------------------
 AttributeError                            Traceback (most recent call
 last)
 <snip>
 AttributeError:
 'sage.groups.perm_gps.permgroup_element.PermutationGroupElement' object
 has no attribute 'inverse'
 }}}

 Some discussion at http://groups.google.com/group/sage-
 devel/browse_thread/thread/683315261a6c6def

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10911>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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