论文标题

Z级分组:一项调查

z-classes in groups: a survey

论文作者

Bhunia, Sushil, Singh, Anupam

论文摘要

这篇调查文章探讨了Z类的概念。此处介绍的概念与转化组中轨道类型的概念以及有限群体类型的表示理论中的类型或属有关。如果它们的中心化是共轭的,则一组中的两个要素是Z等效的(或Z偶联的)。这比元素的结合较弱。在这篇调查文章中,我们介绍了有关此主题的几个已知结果,并提出了一些进一步的问题。

This survey article explores the notion of z-classes in groups. The concept introduced here is related to the notion of orbit types in transformation groups, and types or genus in the representation theory of finite groups of Lie type. Two elements in a group are said to be z-equivalent (or z-conjugate) if their centralizers are conjugate. This is a weaker notion than the conjugacy of elements. In this survey article, we present several known results on this topic and suggest some further questions.

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