论文标题
有限群体包含大型中心化
Finite groups contain large centralizers
论文作者
论文摘要
每个有限的非亚伯利亚订单$ n $组都有一个非中央元素,其centralizer的订单超过$ n^{1/3} $。证明不依赖于有限简单组的分类,而是使用feit-thompson定理。
Every finite non-abelian group of order $n$ has a non-central element whose centralizer has order exceeding $n^{1/3}$. The proof does not rely on the classification of finite simple groups, yet it uses the Feit-Thompson theorem.