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arXiv · 2308.07183

On Thompson Problem

Rulin Shen·Wujie Shi·Feng Tang
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Abstract

In 1987, the second author of this paper reported his conjecture, all finite simple groups $S$ can be characterized uniformly using the order of $S$ and the set of element orders in $S$, to Prof. J. G. Thompson. In their communications, Thompson posed his problem about the judgment of solvability of finite groups $G$. In this paper we give a positive answer for Thompson's problem if the prime graph of $G$ is not connection.

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Rulin Shen, Wujie Shi, Feng Tang. 2023-08-14. On Thompson Problem. https://arxiv.org/abs/2308.07183

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