Polytopes with Preassigned Automorphism Groups
classification
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math.MG
keywords
polytopeabstractautomorphismconvexfinitegrouppolytopescopies
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We prove that every finite group is the automorphism group of a finite abstract polytope isomorphic to a face-to-face tessellation of a sphere by topological copies of convex polytopes. We also show that this abstract polytope may be realized as a convex polytope.
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