33 citations · 168 across the 48 of their papers we have counts for
Showing 2005 · math.GRShow all
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math.GR2005★ 4 cited
Adding high powered relations to large groups
Marc Lackenby
A group is known as `large' if some finite index subgroup admits a surjective homomorphism onto a non-abelian free group. The main theorem of the paper is as follows. Let G be a fi…
math.GR2005★ 12 cited
New lower bounds on subgroup growth and homology growth
Marc Lackenby
We establish new strong lower bounds on the (subnormal) subgroup growth of a large class of groups. This includes the fundamental groups of all finite-volume hyperbolic 3-manifolds…
math.GR2005★ 4 cited
Large groups, Property (tau) and the homology growth of subgroups
Marc Lackenby
We investigate the homology of finite index subgroups G_i of a given finitely presented group G. Specifically, we examine d_p(G_i), which is the dimension of the first homology of…