Torsion homology growth and cheap rebuilding of inner-amenable groups Page 1 Groups
Geom. Dyn. (Online first) DOI 10.4171/GGD/803 © 2024 European Mathematical Society …

This manuscript is not finished. Most of it is in nearly final form, whereas Chapters 8 and 25
are still under construction. Comments are very welcome. The Isomorphism Conjectures due …

By studying commensurators of virtually cyclic groups, we prove that every elementary
amenable group of finite Hirsch length and cardinality admits a finite-dimensional classifying …

We determine the large scale geometry of the minimal displacement set of a hyperbolic
isometry of a systolic complex. As a consequence, we describe the centraliser of such an …

Let be a semidirect product of the form Z n Ì Z= p where p is prime and the Z= p-action on Z n
is free away from the origin. We will compute the topological K-theory of the real and …

We prove that the virtually cyclic (geometric) dimension of the finite index congruence
subgroup IAN p3q of OutpFN q is 2N 2. From this we deduce the virtually cyclic dimension of …

Let G be a discrete group which acts properly and isometrically on a complete CAT (0)-
space X. Consider an integer d with d= 1 or d greater or equal to 3 such that the topological …

Abstract We prove the Farrell–Jones conjecture for (nonconnective) A–theory with
coefficients and finite wreath products for hyperbolic groups, CAT (0)–groups, cocompact …

We show that the relative Farrell–Jones assembly map from the family of finite subgroups to
the family of virtually cyclic subgroups for algebraic K-theory is split injective in the setting …

Let G be a group acting isometrically with discrete orbits on a separable complete CAT. 0/-
space of bounded topological dimension. Under certain conditions, we give upper bounds …