4 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…
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…