#14583: Permutation('()') and Permutation(''), each in its own way, fail to 
return
the identity in S_0
-----------------------------+----------------------------------------------
   Reporter:  darij          |             Owner:  sage-combinat
       Type:  defect         |            Status:  new          
   Priority:  major          |         Milestone:  sage-5.10    
  Component:  combinatorics  |          Keywords:  combinat     
Work issues:                 |   Report Upstream:  N/A          
  Reviewers:                 |           Authors:               
  Merged in:                 |      Dependencies:               
   Stopgaps:                 |  
-----------------------------+----------------------------------------------
 I brought this up in #8392 but was told to post it as a new ticker.

 {{{sage: Permutation([])  # This is be the identity permutation in S_0.
 []
 sage: Permutation([]).cycle_string()    # OK.
 '()'
 sage: Permutation('()')    # This should give the S_0 identity back -- but
 it doesn't.
 [1]
 sage: Permutation('')     # Does this maybe? No.
 ---------------------------------------------------------------------------
 ValueError                                Traceback (most recent call
 last)
 <ipython-input-29-3df27d9d4d7a> in <module>()
 ----> 1 Permutation('')

 /home/darij/sage-5.10.beta2/local/lib/python2.7/site-
 packages/sage/combinat/permutation.pyc in Permutation(l, check_input)
     430         cycle_list = []
     431         for c in cycles:
 --> 432             cycle_list.append(map(int, c.split(",")))
     433
     434         return from_cycles(max([max(c) for c in cycle_list]),
 cycle_list)

 ValueError: invalid literal for int() with base 10: ''
 sage: Permutation(())       # What about this?
 [1]
 }}}

 A corner case it is, but I think it should be done right...

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14583>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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