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math.GR2024
Dimension drop in residual chains
Sam P Fisher, Kevin Klinge
We give a description of the Linnell division ring of a countable residually (poly- virtually nilpotent) (RPVN) group in terms of a generalised Novikov ring, and show th…
math.GR2024
On the cohomological dimension of kernels of maps to
Sam P. Fisher
We prove that if is a finitely generated RFRS group of cohomological dimension , then is virtually free-by-cyclic if and only if . This answers a quest…