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math.GR2008★ 2 cited
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…
math.GR2007
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…
math.GR2007
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…