Open AccessThe Farrell–Jones conjecture for fundamental groups of graphs of abelian groups
Author(s) -
Giovanni Gandini,
Sebastian Meinert,
Henrik Rüping
Publication year - 2015
Publication title -
groups geometry and dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.05
H-Index - 25
eISSN - 1661-7215
pISSN - 1661-7207
DOI - 10.4171/ggd/327
Subject(s) - mathematics , abelian group , conjecture , combinatorics , vertex (graph theory) , solvable group , discrete mathematics , pure mathematics , graph
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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