Jakub Gismatullin , Krzysztof Majcher , Martin Ziegler
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Metric ultraproducts of groups — Simplicity, perfectness and torsion
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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