Let $G$ be a group with centralizer $\mathcal{C}(G)$ such that $G/\mathcal{C}(G)$ is cyclic. Then $G$ is Abelian.
Can any finite group be realized as the isometries of a convex polyhedron in $\mathbb{R}^n$ ?
Let $G$ be a group with centralizer $\mathcal{C}(G)$ such that $G/\mathcal{C}(G)$ is cyclic. Then $G$ is Abelian.
Can any finite group be realized as the isometries of a convex polyhedron in $\mathbb{R}^n$ ?
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