论文标题

群体的度量超强 - 简单,完美和扭转

Metric ultraproducts of groups -- simplicity, perfectness and torsion

论文作者

Gismatullin, Jakub, Majcher, Krzysztof, Ziegler, Martin

论文摘要

我们表征了公制组家族的度量超强的简单性。我们还提供了一些简单组的新示例,例如有限和无限对称组的度量超强,线性组和间隔交换转换组。使用类似的方法,我们还研究了诸如通用,完美和扭转之类的概念。

We characterise the simplicity of metric ultraproducts of a family of metric groups. We also present several new examples of simple groups, such as metric ultraproducts of finite and infinite symmetric groups, linear groups, and interval exchange transformation groups. Using similar methods, we also examine concepts such as genericity, perfectness, and torsion.

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