Bushy pseudocharacters and group actions on quasi-trees

Mathematics – Group Theory

Scientific paper

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13 pages, 3 figures

Scientific paper

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

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