On the coherence of one-relator groups and their group algebras
A Jaikin-Zapirain, M Linton - arXiv preprint arXiv:2303.05976, 2023 - arxiv.org
We prove that one-relator groups are coherent, solving a well-known problem of Gilbert
Baumslag. Our proof strategy is readily applicable to many classes of groups of …
Baumslag. Our proof strategy is readily applicable to many classes of groups of …
Division rings for group algebras of virtually compact special groups
SP Fisher, P Sánchez-Peralta - arXiv preprint arXiv:2303.08165, 2023 - arxiv.org
Let $ k $ be a division ring and let $ G $ be either a torsion-free virtually compact special
group or a torsion-free $3 $-manifold group. We embed the group algebra $ kG $ in a …
group or a torsion-free $3 $-manifold group. We embed the group algebra $ kG $ in a …
On the cohomological dimension of kernels of maps to
SP Fisher - arXiv preprint arXiv:2403.18758, 2024 - arxiv.org
We prove that if $ G $ is a finitely generated RFRS group of cohomological dimension $2 $,
then $ G $ is virtually free-by-cyclic if and only if $ b_2^{(2)}(G)= 0$. This answers a question …
then $ G $ is virtually free-by-cyclic if and only if $ b_2^{(2)}(G)= 0$. This answers a question …
[PDF][PDF] On the coherence of the group algebras of one-relator groups
A Jaikin-Zapirain - 2023 - matematicas.uam.es
ON THE COHERENCE OF THE GROUP ALGEBRAS OF ONE-RELATOR GROUPS 1.
Introduction A group G is coherent if every finitely generated s Page 1 ON THE COHERENCE …
Introduction A group G is coherent if every finitely generated s Page 1 ON THE COHERENCE …
Division rings for group algebras of virtually compact special groups and-manifold groups
SP Fisher, P Sánchez-Peralta - 2024 - ems.press
Let k be a division ring and let G be either a torsion-free virtually compact special group or a
finitely generated torsion-free 3-manifold group. We embed the group algebra kG in a …
finitely generated torsion-free 3-manifold group. We embed the group algebra kG in a …