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arxiv: 1006.3347 · v1 · submitted 2010-06-17 · 🧮 math.GT · math.GR

Coarse Bundles

classification 🧮 math.GT math.GR
keywords coarseactinggroupsabelianablebundlebundlesclassify
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We develop a coarse notion of bundle and use it to understand the coarse geometry of group extensions and, more generally, groups acting on proper metric spaces. The results are particularly sharp for groups acting on (locally finite) trees with Abelian stabilizers, which we are able to classify completely.

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