#3404: Permutation groups .degree() function misleads.
------------------------------+---------------------------------------------
 Reporter:  jason             |        Owner:  rlm                           
     Type:  defect            |       Status:  closed                        
 Priority:  major             |    Milestone:  sage-duplicate/invalid/wontfix
Component:  basic arithmetic  |   Resolution:  invalid                       
 Keywords:                    |  
------------------------------+---------------------------------------------
Changes (by mhansen):

  * status:  assigned => closed
  * resolution:  => invalid
  * milestone:  sage-4.0.1 => sage-duplicate/invalid/wontfix


Old description:

> Both of the graphs below are the path graph on 3 vertices.  The problem
> is that the first labeling returns a permutation group of degree 2, when
> it should be of degree 3.
>
> {{{
> sage: g=Graph('Bo')
> sage: print g.automorphism_group().degree()
> 2
> sage: h=Graph('Bg')
> sage: print h.automorphism_group().degree()
> 3
> sage: g.is_isomorphic(h)
> True
> }}}

New description:

 Both of the graphs below are the path graph on 3 vertices.  The problem is
 that the first labeling returns a permutation group of degree 2, when it
 should be of degree 3.

 {{{
 sage: g=Graph('Bo')
 sage: print g.automorphism_group().degree()
 2
 sage: h=Graph('Bg')
 sage: print h.automorphism_group().degree()
 3
 sage: g.is_isomorphic(h)
 True
 }}}

--

Comment:

 This has been fixed.

 {{{
 ----------------------------------------------------------------------
 | Sage Version 4.0.1.rc1, Release Date: 2009-06-04                   |
 | Type notebook() for the GUI, and license() for information.        |
 ----------------------------------------------------------------------
 sage: sage: g=Graph('Bo')
 sage: sage: print g.automorphism_group().degree()
 3
 sage: g.automorphism_group()
 Permutation Group with generators [(1,2)]
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/3404#comment:3>
Sage <http://sagemath.org/>
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