On subdirect products of type FP m of limit groups

DOI10.1515/JGT.2009.028zbMath1245.20065MaRDI QIDQ3406629

Dessislava H. Kochloukova

Publication date: 19 February 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

finitely generated groupssubdirect productslimit groupsfully residually free groupshomology of groupsTarski problem

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Residual properties and generalizations; residually finite groups (20E26)

Related Items (24)

On the Bieri-Neumann-Strebel-Renz \(\Sigma\)-invariants of the Bestvina-Brady groups ⋮ On the Bieri-Neumann-Strebel-Renz invariants and limit groups over Droms RAAGs ⋮ Profinite extensions of centralizers and the profinite completion of limit groups ⋮ Binary subgroups of direct products ⋮ Normal subgroups in limit groups of prime index ⋮ Dehn functions of coabelian subgroups of direct products of groups ⋮ On pro-\(p\) analogues of limit groups via extensions of centralizers. ⋮ Subdirect products of pro-p groups ⋮ On subdirect products of type FP_n of limit groups over Droms RAAGs ⋮ Computational group theory. Abstracts from the workshop held August 15--21, 2021 (hybrid meeting) ⋮ Residually free groups do not admit a uniform polynomial isoperimetric function ⋮ On the Bieri-Neumann-Strebel-Renz invariants of the weak commutativity construction \(\mathfrak{X}(G)\) ⋮ Finite presentability of normal fibre products. ⋮ Subdirect sums of Lie algebras ⋮ Subgroup properties of pro-\(p\) extensions of centralizers. ⋮ Volume gradients and homology in towers of residually-free groups ⋮ On finite presentability and the homological type \(FP_n\) of Lie algebras: a survey ⋮ Bianchi groups are conjugacy separable. ⋮ Kähler groups and subdirect products of surface groups ⋮ The Bieri-Neumann-Strebel invariants via Newton polytopes ⋮ On the Bieri-Neumann-Strebel-Renz \(\Sigma^1\)-invariant of even Artin groups ⋮ On the Bieri–Neumann–Strebel–Renz invariants of residually free groups ⋮ Homological approximations for profinite and pro-p limit groups ⋮ Subgroups and homology of extensions of centralizers of pro-pgroups

Cites Work

• The subgroups of direct products of surface groups.
• Elementary theory of free non-abelian groups.
• A geometric invariant of discrete groups
• Valuations on free resolutions and higher geometric invariants of groups
• \(K_0\) and noetherian group rings
• Algebraic geometry over groups. I: Algebraic sets and ideal theory
• The geometric invariants of direct products of virtually free groups
• Irreducible affine varieties over a free group. I: Irreducibility of quadratic equations and Nullstellensatz
• Irreducible affine varieties over a free group. II: Systems in triangular quasi-quadratic form and description of residually free groups
• Higher generation subgroup sets and the \(\Sigma\)-invariants of graph groups
• Diophantine geometry over groups. II: Completions, closures and formal solutions
• On the direct product conjecture for sigma invariants
• Valuations and Finitely Presented Metabelian Groups
• The higher geometric invariants for groups with sufficient commutativity
• Subgroups of Direct Products of Free Groups
• On the Dimension of Group Rings
• A Finitely Presented Group Whose 3-Dimensional Integral Homology is not Finitely Generated

This page was built for publication: On subdirect products of type FP m of limit groups