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On the Σ-invariants of Artin groups

✍ Scribed by John Meier; Holger Meinert; Leonard VanWyk

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
116 KB
Volume
110
Category
Article
ISSN
0166-8641

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✦ Synopsis

We use the action of an Artin group on its associated Deligne complex (as defined by Charney and Davis) to give information about the Σ-invariants of Artin groups. This gives a nearly complete description of the finiteness properties of normal subgroups above the commutator subgroup of an Artin group.

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The Σ2-invariants for graph products of
The Σ2-invariants for graph products of indicable groups
✍ John Meier; Holger Meinert; Leonard VanWyk 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 498 KB

Given a finite simplicial graph G and groups G v for each vertex v ∈ G, the graph product GG is the free product of the vertex groups modulo the normal closure of all commutator groups [G v , G w ] where v and w are adjacent vertices. If all vertex groups are indicable we give a complete description