#14015: Affine and Euclidean groups
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       Reporter:  vbraun        |         Owner:  joyner      
           Type:  enhancement   |        Status:  needs_review
       Priority:  major         |     Milestone:  sage-5.7    
      Component:  group theory  |    Resolution:              
       Keywords:                |   Work issues:              
Report Upstream:  N/A           |     Reviewers:              
        Authors:  Volker Braun  |     Merged in:              
   Dependencies:                |      Stopgaps:              
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Changes (by vbraun):

  * status:  new => needs_review


Old description:



New description:

 This ticket implements basic affine groups and Euclidean groups:
 {{{
 sage: G = AffineGroup(3, QQ)
 sage: g = G.random_element(); g
      [   2 -1/2    0]     [  0]
 x|-> [   1   -1   -1] x + [-32]
      [   0   -2   -2]     [1/3]
 sage: g*g
      [ 7/2 -1/2  1/2]     [   16]
 x|-> [   1  5/2    3] x + [ -1/3]
      [  -2    6    6]     [191/3]
 sage: g*g.inverse()
      [1 0 0]     [0]
 x|-> [0 1 0] x + [0]
      [0 0 1]     [0]
 }}}

--

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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14015#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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