#18267: libgap for PermutationGroup
---------------------------+----------------------------
   Reporter:  vdelecroix   |            Owner:
       Type:  enhancement  |           Status:  new
   Priority:  major        |        Milestone:  sage-6.7
  Component:  interfaces   |         Keywords:
  Merged in:               |          Authors:
  Reviewers:               |  Report Upstream:  N/A
Work issues:               |           Branch:
     Commit:               |     Dependencies:
   Stopgaps:               |
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 As remarked in [http://ask.sagemath.org/question/26590/add-generator-to-a
 -group-combine-generators-of-two-groups/ this question on
 ask.sagemath.org] a lot of time is spent with pexpect when playing with
 permutation groups.

 In this ticket:
  - we interface libgap permutation group so that the following works
 {{{
 sage: p1=libgap.eval("(1,2,3)")
 sage: p2=libgap.eval("(3,4,5)")
 sage: p1.sage()
 (1,2,3)
 sage: G=libgap.Group([p1,p2])
 sage: G.sage()
 Traceback (most recent call last):
 ...
 NotImplementedError: cannot construct equivalent Sage object
 }}}
  - we check that interesting GAP functions such as `ClosureGroup`,
 `AllBlocks`, are available from libgap
  - we use them in `PermutationGroup` inplace of the current gap version

--
Ticket URL: <http://trac.sagemath.org/ticket/18267>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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