On asymptotic dimension of groups acting on trees
G. Bell, A. Dranishnikov
Abstract
We prove the following theorem: Let π be the fundamental group of a finite graph of groups with finitely generated vertex groups Gv having asdim Gv n for all vertices v. Then asdimπ n+1. This gives the best possible estimate for the asymptotic dimension of an HNN extension and the amalgamated product.
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