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arxiv: 1309.6909 · v2 · pith:DZ2KH7ATnew · submitted 2013-09-26 · 🧮 math.GR

The Farrell-Jones conjecture for fundamental groups of graphs of abelian groups

classification 🧮 math.GR
keywords groupsconjectureabelianfarrell-jonesfundamentalgraphsholdsbaumslag-solitar
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We show that the Farrell-Jones Conjecture holds for fundamental groups of graphs of groups with abelian vertex groups. As a special case, this shows that the conjecture holds for generalized Baumslag-Solitar groups.

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