This paper provides an account of results and methods from the theory of infinite groups admitting only finitely many normalizers of subgroups with a given property. Some new statements on this subject are also proved.

中文翻译：

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归一化有限的群理论的一些趋势

本文提供了无限组理论的结果和方法的说明，这些理论和方法仅允许有限多个具有给定属性的子组的规范化器。还证明了有关该主题的一些新陈述。