Subgroups of direct products of limit groups over Droms RAAGs

J Lopez de Gamiz Zearra - Algebraic & Geometric Topology, 2023 - msp.org
A result of Bridson, Howie, Miller and Short states that if S is a subgroup of type FP n (ℚ) of
the direct product of n limit groups over free groups, then S is virtually the direct product of …

Subgroups of the direct product of graphs of groups with free abelian vertex groups

M Casals-Ruiz, JLG Zearra - arXiv preprint arXiv:2010.10414, 2020 - arxiv.org
A result of Baumslag and Roseblade states that a finitely presented subgroup of the direct
product of two free groups is virtually a direct product of free groups. In this paper we …

Finitely presented subgroups of direct products of graphs of groups with free abelian vertex groups

M Casals-Ruiz, JLG Zearra - arXiv preprint arXiv:2310.05795, 2023 - arxiv.org
A result by Bridson, Howie, Miller, and Short states that if $ S $ is a finitely presented
subgroup of the direct product of free groups, then $ S $ is virtually a nilpotent extension of a …

Limit groups over coherent right-angled Artin groups are cyclic subgroup separable

J Fruchter - Michigan Mathematical Journal, 2023 - projecteuclid.org
We prove that cyclic subgroup separability is preserved under exponential completion for
groups that belong to a class that includes all coherent RAAGs and toral relatively …

On subdirect products of type FPn of limit groups over Droms RAAGs

DH Kochloukova, JLG Zearra - Mathematical Proceedings of the …, 2024 - cambridge.org
We generalise some known results for limit groups over free groups and residually free
groups to limit groups over Droms RAAGs and residually Droms RAAGs, respectively. We …

Algebraic & Geometric

Z LI - Algebraic & Geometric Topology, 2021 - projecteuclid.org
Heegaard Floer homology is a package of invariants of 3–manifolds invented by Ozsváth
and Szabó, using holomorphic disks and Heegaard splittings of the 3–manifold [13; 12]. It …

On the Bieri-Neumann-Strebel-Renz invariants and limit groups over Droms RAAGs

DH Kochloukova, JL de Gamiz Zearra - Journal of Algebra, 2022 - Elsevier
For a group G that is a limit group over Droms RAAGs such that G has trivial center, we show
that Σ 1 (G)=∅= Σ 1 (G, Q). For a group H that is a finitely presented residually Droms RAAG …