Bounded cohomology and isometry groups of hyperbolic spaces
Ursula Hamenstaedt
Abstract
Let X be an arbitrary hyperbolic geodesic metric space and let G be a countable non-elementary weakly acylindrical group of isometries of X. We show that the second bounded cohomology group of G with real coefficients or with coefficients in the regular representation is infinite dimensional. The result holds for any subgroup of the mapping class group of a non-exceptional surface of finite type not containing a normal subgroup which virtually split as a direct product.
Create a lesson
Related papers
Property R∞ for Artin and Coxeter groups whose outer automorphisms are length-preserving
Ignat Soroko
DL, DQ Spectrum and Eigenvalue-free Interval of Cayley Graphs over Finite Nilpotent Groups
Pallabi Manna, Santanu Mandal
On p-groups with one nonlinear codegree
Jiwei Zheng, Heng Lv
Classes of Subgroups of a finite group with isomorphic quotient groups
Tushar Halder, Sachin Ballal
Cohomology and multiplicative gaps for quasi-isometries of nilpotent groups
Mayukh Mukherjee, Soumyadeb Samanta, Soumyadip Thandar
On the number of conjugacy classes of finite solvable groups of order divisible by p2
Thomas Michael Keller