#15656: Sending groups to Gap renumbers permutation groups
----------------------------+----------------------------
   Reporter:  kcrisman      |            Owner:
       Type:  defect        |           Status:  new
   Priority:  major         |        Milestone:  sage-6.1
  Component:  group theory  |         Keywords:
  Merged in:                |          Authors:
  Reviewers:                |  Report Upstream:  N/A
Work issues:                |           Branch:
     Commit:                |     Dependencies:
   Stopgaps:                |
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 Groups created from graph automorphisms start numbering at zero, but Gap
 doesn't, so we get nasty behavior like this:
 {{{
 sage:
 G1=Graph(':H`ECw@HGXGAGUG`e');G=G1.automorphism_group();sg=G.subgroups()
 sage: G
 Permutation Group with generators [(0,7)(1,4)(2,3)(6,8)]
 sage: [s for s in sg]
 [Permutation Group with generators [()],
  Permutation Group with generators [(1,8)(2,5)(3,4)(7,9)]]
 }}}

 This originated at [https://groups.google.com/forum/#!topic/sage-
 support/Lvft5VA7rFg this sage-support thread].
 The root of the problem is
 {{{
 sage: G._gap_()
 Group( [ (1,8)(2,5)(3,4)(7,9) ] )
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/15656>
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