Abstract
We study a family of finitely generated residually finite groups.
These groups are doubles
F
2
*
H
F
2
F_{2}*_{H}F_{2}
of a rank-2 free group
F
2
F_{2}
along an infinitely generated subgroup 𝐻.
Varying 𝐻 yields uncountably many groups up to isomorphism.
AbstractIn 2013, Kharlampovich, Myasnikov, and Sapir constructed the first examples of finitely presented residually finite groups with large Dehn functions. Given any recursive function