Presentations for subgroups of Artin groups

By Warren Dicks, I. Leary. 2012

54 citations recorded by the source corpus.

Recently, M. Bestvina and N. Brady have exhibited groups that are of type FP but not finitely presented. We give explicit presentations for groups of the type considered by Bestvina-Brady. This leads to algebraic proofs of some of their results.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/932d73d29c9441a5a8d01390f241c0529c637a43

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. I. Leary
4. Daniel T. Wise
5. W. Lück
6. Mark F. Hagen
7. G. Hruska

In Mathematical Physics

1. Michael W. Davis
2. Brita Nucinkis
3. I. Leary
4. Daniel T. Wise
5. W. Lück
6. Mark F. Hagen
7. G. Hruska

Citations in the corpus

• The Geometry and Topology of Coxeter Groups (2025, background): “” More information about Artin groups can be found in [56, 57, 70, 78, 96].”
• Some groups of type VF (2003, methodology): “Next we recall from [23] a theorem giving a presentation for HL whenever L is connected, and a finite presentation whenever L is 1-connected.”