We prove that in an arbitrary group, the normal closure of a finite Engel element with Artinian centralizer is a locally nilpotent Cĕrnikov subgroup, thereby generalizing the Baer–Suzuki theorem, Blackburn’s and Shunkov’s theorems.

中文翻译：

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有限恩格尔元群

我们证明在任意群中，有限 Engel 元与 Artinian 集中器的正规闭包是局部幂零 Cĕrnikov 子群，从而推广了 Baer-Suzuki 定理、Blackburn 和 Shunkov 定理。