On Thu, Sep 11, 2008 at 9:16 PM, Rob Beezer <[EMAIL PROTECTED]> wrote:
>
> I'm trying to compute the "product" of a couple of subgroups (the aim
> being to build a set that is not a subgroup).  My students know the
> symmetries of a tetrahedron.  Following code results in errors.  I can
> change the final line to variations that are not useful (like just
> printing  g  and  h  individually) and the errors go away.  Any
> thoughts on how to make this work?

This is a bug that we are tracking here:
        http://trac.sagemath.org/sage_trac/ticket/4105

Here is a  workaround:

tetra=AlternatingGroup(4)
stab1=PermutationGroup_subgroup(tetra, ["(1,2,3)"])
stab4=PermutationGroup_subgroup(tetra, ["(2,3,4)"])
for g in stab1:
 for h in stab4:
   print tetra(g)*tetra(h)

()
(2,3,4)
(2,4,3)
(1,2,3)
(1,3)(2,4)
(1,4,3)
(1,3,2)
(1,4,2)
(1,2)(3,4)

> Thanks,
> Rob
>
> Code:
>
> tetra=AlternatingGroup(4)
> stab1=PermutationGroup_subgroup(tetra, ["(1,2,3)"])
> stab4=PermutationGroup_subgroup(tetra, ["(2,3,4)"])
> for g in stab1:
>  for h in stab4:
>    print g*h
>
> Errors:
>
> Traceback (most recent call last):        print (g*h)
>  File "/opt/sage-3.0/local/lib/python2.5/site-packages/sympy/
> plotting/", line 3, in <module>
>
>  File "element.pyx", line 1082, in
> sage.structure.element.MonoidElement.__mul__ (sage/structure/element.c:
> 7301)
>  File "coerce.pyx", line 286, in
> sage.structure.coerce.CoercionModel_cache_maps.bin_op_c (sage/
> structure/coerce.c:5177)
>  File "permgroup_element.pyx", line 463, in
> sage.groups.perm_gps.permgroup_element.PermutationGroupElement._r_action
> (sage/groups/perm_gps/permgroup_element.c:3239)
>  File "permgroup_element.pyx", line 254, in
> sage.groups.perm_gps.permgroup_element.PermutationGroupElement.__init__
> (sage/groups/perm_gps/permgroup_element.c:1726)
>  File "/opt/sage-3.0/local/lib/python2.5/site-packages/sage/groups/
> perm_gps/permgroup_named.py", line 130, in __init__
>    raise ValueError, "n (=%s) must be >= 1"%n
> ValueError: n (=0) must be >= 1
>
> >
>



-- 
William Stein
Associate Professor of Mathematics
University of Washington
http://wstein.org

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