Asymptotic Dimension of Finitely Presented Groups
Thanos Gentimis
Abstract
It is proven that if a finitely presented group is one ended it has asymptotic dimension bigger than one. It follows that finitely presented groups with asdim 1 are virtually free. A counterexample is given for the finitely generated case.
Create a lesson
Related papers
Koszul duality and Morita categories
Max Blans
Persistence Meets Resistance: Doubling Down on Hardness
Benedikt Kolbe, Tim Mayr
On orientability, Poincaré duality, and connectivity of GKM graphs
Oliver Goertsches, Panagiotis Konstantis, Leopold Zoller
Local Bousfield classes via homological support
Tobias Barthel, Natalia Castellana, Drew Heard et al.
Coordinate-Deletion Bundles from Composition Algebras: Hopf Defects, KO-Classes, and Real Projective Space
Marina Palaisti
The product rule in Goodwillie calculus
Max Blans, Thomas Blom