On Algebraic and Geometric Dimensions for Groups with Torsion

By Noel Brady, I. Leary, Brita Nucinkis. 2001

50 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ca31c2793e7eadb3652ebddb329b6a0d5825a628

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Michael W. Davis
2. Brita Nucinkis
3. C. Martínez‐Perez
4. Peter H. Kropholler
5. W. Lück
6. Hanfeng Li
7. Arthur Bartels
8. Christian Wegner

In Mathematical Physics

1. Michael W. Davis
2. Brita Nucinkis
3. C. Martínez‐Perez
4. Peter H. Kropholler
5. W. Lück
6. Arthur Bartels
7. Hanfeng Li
8. H. Reich

Citations in the corpus

• Cohomological finiteness conditions for elementary amenable groups (2009, background): “It follows from [12] that for any group cdQ G e cd G and hence (xii) implies (xi) in the above conjecture.”
• The Geometry and Topology of Coxeter Groups (2025, background): “The main result of [34] is that the Coxeter group examples discussed above are counterexamples to this version of the Eilenberg-Ganea Problem for groups with torsion: cd′(W) = 2 and gd′(W) = 3.”
• Survey on Classifying Spaces for Families of Subgroups (2003, background): “It gives another lower bound for the dimension of a model for EG but is not sharp in general [11].”