On the Bieri-Neumann-Strebel-Renz invariants of the weak commutativity construction \(\mathfrak{X}(G)\)

DOI10.4171/GGD/680MaRDI QIDQ2694832

Dessislava H. Kochloukova

Publication date: 4 April 2023

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.13041

zbMATH Keywords

\(\Sigma\)-invariantsweak commutativityhomological and homotopical finiteness properties

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mapping tori of free group automorphisms, and the Bieri-Neumann-Strebel invariant of graphs of groups
• Weak commutativity between two isomorphic polycyclic groups.
• On weak commutativity in groups
• The \(\Sigma^1\)-invariant for Artin groups of circuit rank 1
• Elementary theory of free non-abelian groups.
• Sigma invariants of direct products of groups.
• The sigma invariants of Thompson's group \(F\).
• Diagonal embeddings of nilpotent groups
• A geometric invariant of discrete groups
• Valuations on free resolutions and higher geometric invariants of groups
• On weak permutability between groups
• The geometric invariants of direct products of virtually free groups
• Actions on 2-complexes and the homotopical invariant \(\Sigma^ 2\) of a group
• Higher generation subgroup sets and the \(\Sigma\)-invariants of graph groups
• Alexander and Thurston norms, and the Bieri-Neumann-Strebel invariants for free-by-cyclic groups
• McMullen polynomials and Lipschitz flows for free-by-cyclic groups
• The BNS-invariant for Artin groups of circuit rank 2
• On the \(\Sigma^2\)-invariants of the generalised R. Thompson groups of type \(F\).
• On the Bieri-Neumann-Strebel-Renz \(\Sigma\)-invariants of the Bestvina-Brady groups
• The Bieri-Neumann-Strebel invariants via Newton polytopes
• The weak commutativity construction for Lie algebras
• Diophantine geometry over groups. VI: The elementary theory of a free group.
• Finiteness conditions for CW-complexes. I, II.
• Finite graph product closure for a conjecture on the BNS-invariant of Artin groups
• On the finite presentation of subdirect products and the nature of residually free groups
• SUBDIRECT PRODUCTS OF GROUPS AND THE n-(n + 1)-(n + 2) CONJECTURE
• On subdirect products of type FP m of limit groups
• On the direct product conjecture for sigma invariants
• Valuations and Finitely Presented Metabelian Groups
• The higher geometric invariants for groups with sufficient commutativity
• On the $\Sigma$-Invariants of Generalized Thompson Groups and Houghton Groups
• Weak commutativity and finiteness properties of groups
• Homological finiteness properties of fibre products
• On the Bieri–Neumann–Strebel–Renz invariants of residually free groups
• On a construction related to the non-abelian tensor square of a group