Algebraic invariants for right-angled Artin groups
By Stefan Papadima, Alexander I. Suciu. 2004
93 citations recorded by the source corpus.
A finite simplicial graph Γ determines a right-angled Artin group GΓ, with generators corresponding to the vertices of Γ, and with a relation υw=wυ for each pair of adjacent vertices. We compute the lower central series quotients, the Chen quotients, and the (first) resonance variety of GΓ, directly from the graph Γ.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/059ef32bfc4b8e471de9b3ccab6ad7e590a0c262
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In Discrete Mathematics and Combinatorics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- An introduction to right-angled Artin groups (2006, background): “ply connected gives an example of a group which is type FP (and hence FPn for all n) but not type F 2 (and hence not Fn for any n ≥ 2). For more on the Bestvina-Brady groups see [67], [68], [65], and [72]. 16 R. CHARNEY a a b b Figure 5. Salvetti complex for 3 edges in a line 4.3. The Croke-Kleiner ”
- Hyperplane arrangements and Milnor fibrations (2013, result): “The proposition extends results from [52, 62]; the first part of the proof is modeled on the proof of [62, Lemma 2.”
- Topology and geometry of cohomology jump loci (2009, methodology): “in [41, Theorem 16.10], all Artin groups are 1-formal. This opens the way for approaching Serre’s problem for Artin groups via resonance varieties, which, as noted above, were described explicitly in [66]. Using these tools, we find out precisely which right-angled Artin groups can be realized as fun”