#19870: Cythonize matrix group elements
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   Reporter:  tscrim       |            Owner:  tscrim
       Type:  enhancement  |           Status:  new
   Priority:  major        |        Milestone:  sage-7.0
  Component:  cython       |         Keywords:  matrix group, elements
  Merged in:               |          Authors:  Travis Scrimshaw
  Reviewers:               |  Report Upstream:  N/A
Work issues:               |           Branch:
     Commit:               |     Dependencies:
   Stopgaps:               |
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 They are used in a lot of places and should be cythonized. With my branch,
 I get ~10% speedup of my operations. Moreover, the class hierarchy for
 matrix group elements can and needs to be changed in order to do this.
 Specifically, I removed the `MatrixGroupElement_base` (the
 `AffineGroupElement` overrode all but 1 method) and
 `GroupElementMixinLibGAP` (only used by `MatrixGroupElement_gap`).

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Ticket URL: <http://trac.sagemath.org/ticket/19870>
Sage <http://www.sagemath.org>
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