Proper actions on finite products of quasi-trees

Autor:	Koji Fujiwara, Kenneth Bromberg, Mladen Bestvina
Rok vydání:	2021
Předmět:	Pure mathematics Ocean Engineering Group Theory (math.GR) Projection (linear algebra) Tree (descriptive set theory) Product (mathematics) Metric (mathematics) Path (graph theory) FOS: Mathematics Finitely generated group Orbit (control theory) Mathematics - Group Theory Connectivity Mathematics
Zdroj:	Annales Henri Lebesgue. 4:685-709
ISSN:	2644-9463
DOI:	10.5802/ahl.85
Popis:	We say that a finitely generated group $G$ has property (QT) if it acts isometrically on a finite product of quasi-trees so that orbit maps are quasi-isometric embeddings. A quasi-tree is a connected graph with path metric quasi-isometric to a tree, and product spaces are equipped with the $\ell^1$-metric. As an application of the projection complex techniques, we prove that residually finite hyperbolic groups and mapping class groups have (QT). Minor changes with a few references added. Accepted by Annales Henri Lebesgue
Databáze:	OpenAIRE
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