黑箱群中对合的中心化子
Centralisers of Involutions in Black Box Groups
摘要：
我们讨论了有限黑盒子群的基本结构性质。一个特别强调的是使用集中的对合概率识别黑箱组。特别是，我们提出了一个算法，找到$p$ -核心的黑盒组的奇特性。对合的这种特殊作用表明，黑盒群理论在非确定性水平上再现了有限单群分类的一些重要特征。
英文摘要：
We discuss basic structural properties of finite black box groups. A special emphasis is made on the use of centralisers of involutions in probabilistic recognition of black box groups. In particular, we suggest an algorithm for finding the $p$-core of a black box group of odd characteristic. This special role of involutions suggest that the theory of black box groups reproduces, at a non-deterministic level, some important features of the classification of finite simple groups.
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