Fundamental groups and group presentations with bounded relator lengths

Geometric group theory (20F65) Topological methods in group theory (57M07) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Cites Work

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Metric geometry of locally compact groups
Limits of finite homogeneous metric spaces
Nilprogressions and groups with moderate growth
The spectral geometry of a tower of coverings
Some remarks on volume and diameter of Riemannian manifolds
Spectre du Laplacien, graphes et topologie de Fell. (Spectrum of the Laplacian, graphs and Fell topology)
The fundamental group and the spectrum of the Laplacian
On the diameter of permutation groups
Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski
The structure of approximate groups.
Babai's conjecture for high-rank classical groups with random generators
On the scaling limit of finite vertex transitive graphs with large diameter
Diameter of Cayley graphs of \(\mathrm{SL}(n,p)\) with generating sets containing a transvection
Discretization of compact Riemannian manifolds applied to the spectrum of Laplacian
Automorphic forms and rational homology 3-spheres
Pro-\(p\) groups and towers of rational homology spheres
Endliche Erzeugbarkeit arithmetischer Gruppen über Funktionenkörpern
Eigenvalues of the Laplacian, the first Betti number and the congruence subgroup problem
Finite approximations to Lie groups.
Hausdorff convergence and universal covers
Geometry of manifolds.
The concentration of measure phenomenon
A note on the isoperimetric constant
Characterizing a vertex‐transitive graph by a large ball
On Selberg’s eigenvalue conjecture for moduli spaces of abelian differentials
A diameter gap for quotients of the unit sphere
Limits of almost homogeneous spaces and their fundamental groups

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