#13874: Allow automorphism of groups to work on the original vertex set
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   Reporter:  azi           |             Owner:  jason, ncohen, rlm
       Type:  enhancement   |            Status:  new               
   Priority:  major         |         Milestone:  sage-5.6          
  Component:  graph theory  |          Keywords:                    
Work issues:                |   Report Upstream:  N/A               
  Reviewers:                |           Authors:                    
  Merged in:                |      Dependencies:                    
   Stopgaps:                |  
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 The current implementation of the automorphism group of a graph always
 relabels the graph in question to use the vertex set $1,2,...,$ and then
 returns the automorphism group based on this labelling and potentially a
 translation for the labelling as well.

 Needless to say that this is time consuming, confusing and also prone to
 bugs since if one uses integers as labels (starting at 0 for example) the
 relabelling might go unnoticed.

 As it appears from [https://groups.google.com/forum/?fromgroups=#!topic
 /sage-devel/wLtbNpeYrok this] sage-devel post  it is now possible to use
 arbitrary domains for permutation groups.

 Hence, it would be nice to integrate this change into the
 automorphism_group function as well.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13874>
Sage <http://www.sagemath.org>
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