Acylindrical hyperbolicity of groups acting on trees

作者:Minasyan Ashot*; Osin Denis
来源:Mathematische Annalen, 2015, 362(3-4): 1055-1105.
DOI:10.1007/s00208-014-1138-z

摘要

We provide new examples of acylindrically hyperbolic groups arising from actions on simplicial trees. In particular, we consider amalgamated products and HNN-extensions, one-relator groups, automorphism groups of polynomial algebras, -manifold groups and graph products. Acylindrical hyperbolicity is then used to obtain some results about the algebraic structure, analytic properties and measure equivalence rigidity of groups from these classes.

  • 出版日期2015-8