Under the assumption that a defining graph of a Coxeter group admits only subsequent elementary twists in \(\mathbb {Z}_2\) or dihedral groups and is of type \(\mathrm {FC}\), we prove Bernhard Mühlherr’s Twist Conjecture.

中文翻译：

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扭曲猜想中的二面角扭曲

假设Coxeter组的定义图仅接受\（\ mathbb {Z} _2 \）或二面体组中的后续基本扭曲并且类型为\（\ mathrm {FC} \），我们证明了BernhardMühlherr的Twist Conjecture 。