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Groups Geometry and Dynamics
Article . 2012 . Peer-reviewed
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Cohomology computations for Artin groups, Bestvina–Brady groups, and graph products

Cohomology computations for Artin groups, Bestvina-Brady groups, and graph products.
Authors: Davis, Michael W.; Okun, Boris;

Cohomology computations for Artin groups, Bestvina–Brady groups, and graph products

Abstract

We compute: In the case of arbitrary graph products there is an additional proviso: either all factors are infinite or all are finite.

Keywords

Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Coxeter groups, Group Theory (math.GR), Braid groups; Artin groups, graph products, 20F36, 20F55, 20F65, 20J06, 55N25 (Primary) 20E42, 57M07 (Secondary), buildings, right-angled Artin group, Artin groups, Reflection and Coxeter groups (group-theoretic aspects), FOS: Mathematics, cohomology, weighted \(L^2\)-cohomology, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, Cohomology of groups, Bestvina-Brady groups, \(L^2\)-Betti numbers, Mathematics - Group Theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
23
Top 10%
Top 10%
Top 10%
Green
gold