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arXiv · 1707.01963

On Thompson's conjecture for finite simple exceptional groups of Lie type

Ilya Gorshkov·Ivan Kaygorodov·Andrei Kukharev·Aleksei Shlepkin
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Abstract

Let $G$ be a finite group, $N(G)$ be the set of conjugacy classes of the group $G$. In the present paper it is proved $G\simeq L$ if $N(G)=N(L)$, where $G$ is a finite group with trivial center and $L$ is a finite simple group of exceptional Lie type or Tits group.

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Ilya Gorshkov, Ivan Kaygorodov, Andrei Kukharev, Aleksei Shlepkin. 2017-07-06. On Thompson's conjecture for finite simple exceptional groups of Lie type. https://doi.org/10.1007/s10958-020-04820-2

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