In this paper we complete the determination of the Brauer trees of unipotent blocks (with cyclic defect groups) of finite groups of Lie type. These trees were conjectured by the first author. As a consequence, the Brauer trees of principal $\ell$-blocks of finite groups are known for $\ell>71$.

中文翻译：

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单能块的布劳尔树

在本文中，我们完成了 Lie 型有限群的单能块（具有循环缺陷群）的 Brauer 树的确定。这些树是第一作者推测的。因此，有限群的主 $\ell$-块的 Brauer 树以 $\ell>71$ 为人所知。