Torsion-free Subgroups of GGS-Groups and Multi-EGS Groups
In this thesis we use theory of branch groups and profinite groups to find infinite finitely generated residually finite torsion-free groups whose profinite completions are pro-p. We achieve this by defining a property analogous to the congruence subgroup property of integer matrix groups, which most GGS-groups satisfy, and use this to show that the commutator subgroups of such groups has pro-p pr
