9 citations · 53 across the 22 of their papers we have counts for
5 papers · 2 filters
Centralisers and the virtually cyclic dimension of
Yassine Guerch, Sam Hughes, Luis Jorge Sánchez Saldaña
We prove that the virtually cyclic (geometric) dimension of the finite index congruence subgroup of is . From this we deduce the virtua…
Homology growth of polynomially growing mapping tori
Naomi Andrew, Yassine Guerch, Sam Hughes +1
We prove that residually finite mapping tori of polynomially growing automorphisms of hyperbolic groups, groups hyperbolic relative to finitely many virtually polycyclic groups, ri…
A note on asynchronously automatic groups and notions of non-positive curvature
Sam Hughes, Motiejus Valiunas
We prove groups acting cocompactly on locally finite trees with hyperbolic vertex stabilisers are asynchronously automatic. Combining this with previous work of the authors, we obt…
On profinite rigidity amongst free-by-cyclic groups I: the generic case
Sam Hughes, Monika Kudlinska
We prove that amongst the class of free-by-cyclic groups, Gromov hyperbolicity is an invariant of the profinite completion. We show that whenever is a free-by-cyclic group with…
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…