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- W3215721344 abstract "We study the hypergeometric group in ${rm GL}_3(mathbb{C})$ with parameters $alpha = (frac{1}{4}, frac{1}{2}, frac{3}{4})$ and $beta = (0,0,0)$. We give a new proof that this group is isomorphic to the free product $mathbb{Z}/4mathbb{Z} * mathbb{Z}/2mathbb{Z}$ by exhibiting a ping-pong table. Our table is determined by a simplicial cone in $mathbb{R}^3$, and we prove that this is the unique simplicial cone (up to sign) for which our construction produces a valid ping-pong table." @default.
- W3215721344 created "2021-12-06" @default.
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- W3215721344 date "2021-11-29" @default.
- W3215721344 modified "2023-09-27" @default.
- W3215721344 title "Cones and ping-pong in three dimensions" @default.
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