#4521: Trivial permutation group enumeration bug
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 Reporter:  kohel         |       Owner:  joyner
     Type:  defect        |      Status:  new   
 Priority:  major         |   Milestone:        
Component:  group_theory  |    Keywords:        
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 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.

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