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Preprint Number 1855

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1855. Jakub Gismatullin, Krzysztof Majcher, Martin Ziegler
New compactness theorem for metric ultraproducts and simplicity

Submission date: 7 October 2020


We give a new compactness theorem for any metric ultraproducts of family of metric groups. As an application we characterize simplicity of metric ultraproducts of groups and give a couple of examples of new simple groups which are metric ultraproducts of finite and infinite symmetric groups, linear groups and interval exchange transformations group.

Mathematics Subject Classification: 20E32, 20E45, 03C20, 12L10

Keywords and phrases:

Full text arXiv 2010.03394: pdf, ps.

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