# Prescribing symmetries and automorphisms for polytopes

@article{Schulte2019PrescribingSA, title={Prescribing symmetries and automorphisms for polytopes}, author={Egon Schulte and Pablo Sober'on and Gordon I. Williams}, journal={arXiv: Combinatorics}, year={2019} }

We study finite groups that occur as combinatorial automorphism groups or geometric symmetry groups of convex polytopes. When $\Gamma$ is a subgroup of the combinatorial automorphism group of a convex $d$-polytope, $d\geq 3$, then there exists a convex $d$-polytope related to the original polytope with combinatorial automorphism group exactly $\Gamma$. When $\Gamma$ is a subgroup of the geometric symmetry group of a convex $d$-polytope, $d\geq 3$, then there exists a convex $d$-polytope related…

## 2 Citations

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We study properties of the realizations of groups as the combinatorial automorphism group of a convex polytope. We show that for any non-abelian group $G$ with a central involution there is a…

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