# 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}
}
• Published 14 February 2019
• Mathematics
• arXiv: Combinatorics
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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