Rips machine

id: rips-machine-282-12278138
title: Rips machine
text: In geometric group theory, the Rips machine is a method of studying the action of groups on R-trees. It was introduced in unpublished work of Eliyahu Rips in about 1991. An R-tree is a uniquely arcwise-connected metric space in which every arc is isometric to some real interval. Rips proved the conjecture of Morgan and Shalen that any finitely generated group acting freely on an R-tree is a free product of free abelian and surface groups.
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Rips_machine
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date modified: 2024-01-01T05:48:41Z
main entity: {"identifier":"Q7335750","url":"https://www.wikidata.org/entity/Q7335750"}
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