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• W2583967874 abstract "We adapt the Ping-Pong Lemma, which historically was used to study free products of groups, to the setting of the homeomorphism group of the unit interval. As a consequence, we isolate a large class of generating sets for subgroups of $mathrm{Homeo}_+(I)$ for which certain finite dynamical data can be used to determine the marked isomorphism type of the groups which they generate. As a corollary, we will obtain a criteria for embedding subgroups of $mathrm{Homeo}_+(I)$ into Richard Thompson's group $F$. In particular, every member of our class of generating sets generates a group which embeds into $F$ and in particular is not a free product. An analogous abstract theory is also developed for groups of permutations of an infinite set." @default.
• W2583967874 created "2017-02-10" @default.
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• W2583967874 date "2017-01-28" @default.
• W2583967874 modified "2023-09-27" @default.
• W2583967874 title "Groups of fast homeomorphisms of the interval and the ping-pong argument" @default.
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• W2583967874 hasPublicationYear "2017" @default.
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