Bowditch taut spectrum and dimensions of groups

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Group actions on manifolds and cell complexes in low dimensions (57M60) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Cites Work

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On the classifying space of the family of virtually cyclic subgroups
Lifting group actions, equivariant towers and subgroups of non-positively curved groups.
Relative quasiconvexity using fine hyperbolic graphs.
Local quasiconvexity of groups acting on small cancellation complexes.
Hyperbolization of polyhedra
On the Lusternik-Schnirelmann category of abstract groups
The accessibility of finitely presented groups
Boundaries of Coxeter groups and simplicial complexes with given links
Continuously many quasiisometry classes of \(2\)-generator groups
Proper group actions and the Baum-Connes conjecture
The type of the classifying space for a family of subgroups
An Eilenberg-Ganea phenomenon for actions with virtually cyclic stabilisers
Classifying spaces for the family of virtually abelian subgroups of orientable 3-manifold groups
Brown's criterion and classifying spaces for families
On the classifying space for the family of virtually cyclic subgroups for elementary amenable groups
RELATIVELY HYPERBOLIC GROUPS
ON ALGEBRAIC AND GEOMETRIC DIMENSIONS FOR GROUPS WITH TORSION
Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
The Boundary of Negatively Curved Groups
Isomorphism Conjectures in Algebraic K-Theory
Groups acting on trees and the Eilenberg–Ganea problem for families
Uncountably many quasi-isometry classes of groups of type FP
Subgroups, hyperbolicity and cohomological dimension for totally disconnected locally compact groups
Finiteness properties of groups

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