有限非交换单群与S₃-猜想

Finte Nonabelian Simple Groups and the S₃-Conjecture

摘要: 有限群论中S₃-猜想是一个非常古老的公开问题。本文证明了有限非交换单群至少有2个长度相同的共轭类，因此它们都不是S₃-猜想的反例。

Abstract: The S₃-conjecture is a long-satnding open problem in the theory of finite groups. This paper shows that any finite nonabelian simple group has at least two conjugacy classes of same size, and so is not a counterexample to the S₃-conjecture.

文章引用：罗雨玥, 刘燕俊. 有限非交换单群与S₃-猜想[J]. 理论数学, 2019, 9(5): 568-577. https://doi.org/10.12677/PM.2019.95076

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