2 citations · 2 across the 4 of their papers we have counts for
5 papers
Largeness of LERF and 1-relator groups
Jack Button
We consider largeness of groups given by a presentation of deficiency 1, where the group is respectively free-by-cyclic, LERF or 1-relator. We give the first examples of (finitely…
Large Groups of Deficiency One
J. O. Button
We prove that if a group possesses a deficiency 1 presentation where one of the relators is a commutator then it is the integers times the integers, is large, or is as far as possi…
A formula for the normal subgroup growth of Baumslag-Solitar groups
J. O. Button
We give an exact formula for the number of normal subgroups of each finite index in the Baumslag-Solitar group BS(p,q) when p and q are coprime. Unlike the formula for all finite i…
Fibred and Virtually Fibred hyperbolic 3-manifolds in the censuses
J. O. Button
Following on from work of Dunfield, we determine the fibred status of all the unknown hyperbolic 3-manifolds in the cusped census. We then find all the fibred hyperbolic 3-manifold…
All Fuchsian Schottky groups are classical Schottky groups
Jack Button
Not all Schottky groups of Moebius transformations are classical Schottky groups. In this paper we show that all Fuchsian Schottky groups are classical Schottky groups, but not nec…