4 citations · 4 across the 3 of their papers we have counts for
3 papers
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.GT2005
Covering spaces of 3-orbifolds
Marc Lackenby
Let O be a compact orientable 3-orbifold with non-empty singular locus and a finite volume hyperbolic structure. (Equivalently, O is the quotient of hyperbolic 3-space by a lattice…
math.GT2005
Some 3-manifolds and 3-orbifolds with large fundamental group
Marc Lackenby
We provide two new proofs of a theorem of Cooper, Long and Reid which asserts that, apart from an explicit finite list of exceptional manifolds, any compact orientable irreducible…