#13856: Add a top_class method to the Steenrod algebra
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   Reporter:  cnassau             |             Owner:  jhpalmieri      
       Type:  enhancement         |            Status:  new             
   Priority:  minor               |         Milestone:  sage-5.6        
  Component:  algebraic topology  |          Keywords:  Steenrod algebra
Work issues:                      |   Report Upstream:  N/A             
  Reviewers:                      |           Authors:  Christian Nassau
  Merged in:                      |      Dependencies:                  
   Stopgaps:                      |  
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 The attached patch introduces a new method {{{top_class}}} that computes
 the highest dimensional basis element of a finite sub algebra of the
 Steenrod algebra:

    {{{#!python
      sage: SteenrodAlgebra(3,profile=((2,1),(2,2,2,2))).top_class()
      Q_0 Q_1 Q_2 Q_3 P(8,2)
      sage: SteenrodAlgebra(2,profile=(3,2,1),basis='pst').top_class()
      P^0_1 P^0_2 P^1_1 P^0_3 P^1_2 P^2_1
      sage: SteenrodAlgebra(7).top_class()
      Traceback (most recent call last):
      ...
      ValueError: the algebra is not finite dimensional
    }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13856>
Sage <http://www.sagemath.org>
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