#10148: Automorphism group of a Polyhedron
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Reporter: vbraun | Owner: mhampton
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-feature
Component: geometry | Keywords:
Author: Volker Braun | Upstream: N/A
Reviewer: Andrey Novoseltsev | Merged:
Work_issues: |
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Changes (by vbraun):
* reviewer: => Andrey Novoseltsev
Comment:
Thanks for catching the translation bug. The restricted automorphism group
should be `D_6` (dihedral group with 6 elements) in all cases.
I've renamed the method to `restricted_automorphism_group()`.
I don't think that you can't get rid of lines; The Polyhedron class makes
no guarantees that the vertex and ray generators are in a common
hypersurface of codimension = number of lines. So the restricted
automorphism group will always depend on the presentation of the
polyhedron. Once you embrace this fact there is no particular reason to
disallow permutations of line generators...
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10148#comment:4>
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