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Bushy pseudocharacters and group actions on quasitrees. (English) Zbl 1245.05020

Summary: Given a group acting on a graph quasi-isometric to a tree, we give sufficient conditions for a pseudocharacter to be bushy. We relate this with the conditions studied by Bestvina and Fujiwara on their work on bounded cohomology and obtain some results on the space of pseudocharacters.

MSC:

05C05 Trees
57M07 Topological methods in group theory
20J06 Cohomology of groups
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References:

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