#4521: Trivial permutation group enumeration bug
--------------------------+-------------------------------------------------
 Reporter:  kohel         |        Owner:  joyner  
     Type:  defect        |       Status:  new     
 Priority:  major         |    Milestone:  sage-3.4
Component:  group_theory  |   Resolution:          
 Keywords:                |  
--------------------------+-------------------------------------------------
Changes (by mabshoff):

 * cc: mhansen (added)
  * milestone:  => sage-3.4

Old description:

> 1. This gives an error:
>
> sage: G = PermutationGroup([])
> sage: G.list()
>
> 2. Permutation group should take an argument for the degree, e.g.:
>
> sage: G = PermutationGroup([],degree=4)
>
> 3. Permutation group should set the degree correctly:
>
> sage: G = PermutationGroup([[]])
> sage:
> sage: G.list()
> [()]
> sage: G.degree()
> 1
> sage: G = PermutationGroup([[1]])
> sage: G.degree()
> 1
>
> The first group should have degree 0.
>
> 3. Degree 0 should really be supported or
> we will have difficulties with automorphism
> groups of boundary cases.  Currently this
> gives an error:
>
> sage: SymmetricGroup(0)
>
> Certainly these examples should go into the
> docstrings.
> Most of these can be trivially fixed, but
> it would be good if someone could review
> permutation groups with a view to catching
> these problems before they arise.

New description:

 1. This gives an error:
 {{{
 sage: G = PermutationGroup([])
 sage: G.list()
 }}}
 2. Permutation group should take an argument for the degree, e.g.:
 {{{
 sage: G = PermutationGroup([],degree=4)
 }}}
 3. Permutation group should set the degree correctly:
 {{{
 sage: G = PermutationGroup([[]])
 sage:
 sage: G.list()
 [()]
 sage: G.degree()
 1
 sage: G = PermutationGroup([[1]])
 sage: G.degree()
 1
 }}}
 The first group should have degree 0.

 4. Degree 0 should really be supported or
 we will have difficulties with automorphism
 groups of boundary cases.  Currently this
 gives an error:
 {{{
 sage: SymmetricGroup(0)
 }}}
 Certainly these examples should go into the
 docstrings.
 Most of these can be trivially fixed, but
 it would be good if someone could review
 permutation groups with a view to catching
 these problems before they arise.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4521#comment:2>
Sage <http://sagemath.org/>
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