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Algebraic invariants for Bestvina–Brady groups
Author(s) -
Papadima Stefan,
Suciu Alexander I.
Publication year - 2007
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdm045
Subject(s) - mathematics , artin group , algebraic number , group (periodic table) , homomorphism , graph , flag (linear algebra) , finitely generated abelian group , pure mathematics , combinatorics , discrete mathematics , algebra over a field , coxeter group , physics , mathematical analysis , quantum mechanics
Bestvina–Brady groups arise as kernels of length homomorphisms G Γ → ℤ from right‐angled Artin groups to the integers. Under some connectivity assumptions on the flag complex Δ Γ , we compute several algebraic invariants of such a group N Γ , directly from the underlying graph Γ. As an application, we give examples of finitely presented Bestvina–Brady groups which are not isomorphic to any Artin group or arrangement group.