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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…
math.GR2004★ 1 cited
A characterisation of large finitely presented groups
Marc Lackenby
A group is known as `large' if some finite index subgroup admits a surjective homomorphism onto a non-abelian free group. In this paper, we give a necessary and sufficient conditio…
math.GR2004
Expanders, rank and graphs of groups
Marc Lackenby
Let G be a finitely presented group, and let {G_i} be a collection of finite index normal subgroups that is closed under intersections. Then, we prove that at least one of the foll…