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

Ilya Gorshkov; Ivan Kaygorodov; Andrei Kukharev; Aleksei Shlepkin

doi:10.1007/s10958-020-04820-2

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

Group Theory 2021-11-02 v1

Authors: 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.

Keywords

Thompson's conjecture finite simple group exceptional Lie type Tits group conjugacy class set group isomorphism

Cite

@article{arxiv.1707.01963,
  title  = {On Thompson's conjecture for finite simple exceptional groups of Lie type},
  author = {Ilya Gorshkov and Ivan Kaygorodov and Andrei Kukharev and Aleksei Shlepkin},
  journal= {arXiv preprint arXiv:1707.01963},
  year   = {2021}
}

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

Abstract

Keywords

Cite

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