#16059: Equality vs hash for braid groups
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       Reporter:  tmonteil           |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.2
      Component:  group theory       |   Resolution:
       Keywords:  braid group,       |    Merged in:
  hash, Cayley graph                 |    Reviewers:  Travis Scrimshaw
        Authors:  Thierry Monteil    |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  141adb09fe3e8f45079d706135dc071dc2e1eec7
  u/tmonteil/equality_vs_hash_for_braid_groups|     Stopgaps:
   Dependencies:                     |
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Comment (by tmonteil):

 Actually, there is already an indirect check when `G` answers `Digraph on
 31 vertices` (to be compared to `Digraph on 40 vertices` for the free
 group, some vertices are merged). Is it enough ?

 Otherwise, i do not know a short way to represent directed graphs in Sage,
 but i could add a test for the undirected version of the graph using
 `sparse6_string` representation along the following lines just after the
 previous example, though i am not sure it is easy to read:

 {{{
 sage: graph_string = ':^_`aa`ddd`aHhh_lmmmfLqqlStt_HjWxxvW{{'
 sage: G.to_undirected().is_isomorphic(Graph(graph_string))
 True
 }}}

 What do you think ?

--
Ticket URL: <http://trac.sagemath.org/ticket/16059#comment:6>
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