Some geometric properties of metric ultraproducts of finite simple groups release_5qjv2nudozh7jap36tlv3psewa

by Andreas Thom, John Wilson

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In this article we prove some previously announced results about metric ultraproducts of finite simple groups. We show that any non-discrete metric ultraproduct of alternating or special linear groups is a geodesic metric space. For more general non-discrete metric ultraproducts of finite simple groups, we are able to establish path-connectedness. As expected, these global properties reflect asymptotic properties of various families of finite simple groups.
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Type  article
Stage   submitted
Date   2016-06-13
Version   v1
Language   en ?
arXiv  1606.03863v1
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