Algebraic invariants for right-angled Artin groups.

DOI10.1007/s00208-005-0704-9zbMath1165.20032arXivmath/0412520OpenAlexW2124029100MaRDI QIDQ818561

Stefan Papadima, Alexander I. Suciu

Publication date: 21 March 2006

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412520

zbMATH Keywords

group presentationsfinitely presented groupshyperplane arrangementslower central seriesright-angled Artin groupsresonance varietiesChen groupsfinite simplicial graphs

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Rational homotopy theory (55P62) Braid groups; Artin groups (20F36) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Topological methods in group theory (57M07) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Derived series, central series, and generalizations for groups (20F14)

Related Items (35)

Coabelian ideals in \(\mathbb{N}\)-graded Lie algebras and applications to right angled Artin Lie algebras ⋮ An introduction to right-angled Artin groups. ⋮ Topology and geometry of cohomology jump loci ⋮ Mini-workshop: Cohomology rings and fundamental groups of hyperplane arrangements, wonderful compactifications, and real toric varieties. Abstracts from the mini-workshop held September 30 -- October 6, 2012. ⋮ The depth of a Riemann surface and of a right-angled Artin group ⋮ Pure virtual braids, resonance, and formality ⋮ Edge stabilization in the homology of graph braid groups ⋮ Chen ranks and resonance ⋮ Mild pro-\(p\) groups and the Koszulity conjectures ⋮ Graph 4-braid groups and Massey products ⋮ Nets in \(\mathbb{P}^2\) and Alexander duality ⋮ Formality and finiteness in rational homotopy theory ⋮ Root multiplicities for Borcherds algebras and graph coloring ⋮ Graph products of spheres, associative graded algebras and Hilbert series. ⋮ Right-angled Artin groups and enhanced Koszul properties ⋮ Hyperplane arrangements and Milnor fibrations ⋮ On the profinite topology of right-angled Artin groups. ⋮ Toric complexes and Artin kernels ⋮ Quasi-Kähler Bestvina-Brady groups ⋮ Right angled Artin groups and partial commutation, old and new ⋮ The associated Lie algebra of a right-angled Coxeter group ⋮ On higher Massey products and rational formality for moment-angle manifolds over multiwedges ⋮ Decompositions of the polyhedral product functor with applications to moment-angle complexes and related spaces ⋮ Poincaré duality and resonance varieties ⋮ The BNS-invariant for the pure braid groups. ⋮ Resonance of basis-conjugating automorphism groups ⋮ Cohomology jump loci of 3-manifolds ⋮ Flat connections and resonance varieties: From rank one to higher ranks ⋮ Chen ranks and resonance varieties of the upper McCool groups ⋮ On pro-\(p\) groups with quadratic cohomology ⋮ Higher commutators in the loop space homology of \(K\)-products ⋮ Some non-Koszul algebras from rational homotopy theory ⋮ Universal Upper Bound for the Growth of Artin Monoids ⋮ Graded components of the Lie algebra associated with the lower central series of a right-angled Coxeter group ⋮ Groups of \(p\)-absolute Galois type that are not absolute Galois groups

Uses Software

• GAP
• Macaulay2

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