A recent conjecture of the author and Teng Fang states that there are only finitely many finite simple groups with no cubic graphical regular representation. In this paper, we make crucial progress towards this conjecture by giving an affirmative answer for groups of Lie type of large rank.

中文翻译：

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关于有限简单群的三次图形正则表示

作者和Teng Fang的最新猜想表明，只有有限的有限简单组没有立方的图形正则表示。在本文中，我们通过对大型李氏类型的群体给出肯定的答案，朝着这一猜想取得了重要进展。