51 citations · 188 across the 36 of their papers we have counts for
39 papers
Some closed manifolds that do not fibre over the circle
Sam Hughes, Ian Leary, Wolfgang Lueck
We construct closed manifolds with vanishing L^2-Betti numbers over every field) which do not virtually fibre over the circle. The class of fundamental groups that occurs is the la…
Coherence for elementary amenable groups
Sam Hughes, Dawid Kielak, Peter H. Kropholler +1
We prove that for an elementary amenable group, coherence of the group, homological coherence of the group, and coherence of the integral group ring are all equivalent. This genera…
Homological growth of Artin kernels in positive characteristic
Sam P. Fisher, Sam Hughes, Ian J. Leary
We prove an analogue of the Lück Approximation Theorem in positive characteristic for certain residually finite rationally soluble (RFRS) groups including right-angled Artin groups…
On the virtual and residual properties of a generalization of Bestvina-Brady groups
Ian J Leary, Vladimir Vankov
Previously one of us introduced a family of groups , parametrized by a finite flag complex , a regular covering of , and a set of integers. We give conjectu…
A note on torsion length and torsion subgroups
Ian J. Leary, Ashot Minasyan
Answering Questions 19.23 and 19.24 from the Kourovka notebook we construct polycyclic groups with arbitrary torsion lengths and give examples of finitely presented groups whose qu…
Groups of type via graphical small cancellation
Thomas Brown, Ian J Leary
We construct an uncountable family of groups of type . In contrast to every previous construction of non-finitely presented groups of type we do not use Morse theory on cu…