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arXiv:1505.06253 [math.CO]AbstractReferencesReviewsResources

Polytopes with Preassigned Automorphism Groups

Egon Schulte, Gordon Ian Williams

Published 2015-05-23Version 1

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.

Comments: Discrete & Computational Geometry (to appear)
Categories: math.CO, math.MG
Subjects: 52B15, 52B11, 51M20
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