Geodesic
Bushy pseudocharacters and group actions on quasitrees
Martínez-Pérez, Álvaro1
1Departamento de Análisis Económico y Finanzas, Universidad de Castilla-La Mancha, Avda Real Fábrica de Seda, s/n, 45600 Talavera de la Reina, Toledo, Spain
Algebraic and Geometric Topology, Tome 12 (2012) no. 3, pp. 1721-1739
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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.

DOI : 10.2140/agt.2012.12.1721
Classification : 57M07, 05C05, 20J06
Keywords: group action, quasitree, bushy pseudocharacter

Martínez-Pérez, Álvaro  1

1 Departamento de Análisis Económico y Finanzas, Universidad de Castilla-La Mancha, Avda Real Fábrica de Seda, s/n, 45600 Talavera de la Reina, Toledo, Spain 
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Martínez-Pérez, Álvaro. Bushy pseudocharacters and group actions on quasitrees. Algebraic and Geometric Topology, Tome 12 (2012) no. 3, pp. 1721-1739. doi: 10.2140/agt.2012.12.1721

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