#19391: Move invariant_generators to libsingular
----------------------------+--------------------------------
   Reporter:  mmarco        |            Owner:
       Type:  enhancement   |           Status:  new
   Priority:  major         |        Milestone:  sage-6.10
  Component:  group theory  |         Keywords:
  Merged in:                |          Authors:  Miguel Marco
  Reviewers:                |  Report Upstream:  N/A
Work issues:                |           Branch:
     Commit:                |     Dependencies:
   Stopgaps:                |
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 This patch moves the .invariant_generators() method of finite matrix
 groups to libsingular, which simplifies much the code.

 It also adds the possibility of defining the ring in which the result
 should be:

 {{{
 sage: m1 = matrix(QQ, [[0, -1], [1, 0]])
 sage: G = MatrixGroup([m1])
 sage: G.invariant_generators()
 [x0^2 + x1^2, x0^4 + x1^4, x0^3*x1 - x0*x1^3]
 sage: R.<x,y> = QQ[]
 sage: G.invariant_generators(R)
 [x^2 + y^2, x^4 + y^4, x^3*y - x*y^3]
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/19391>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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