Research Paper

An Uncountable Family Of Finitely Generated Residually Finite Groups
(joint work with Daniel Wise)

Published in Journal of Group Theory, 25(2), 207-216 (2021)

Abstract: We study a family of finitely generated residually finite groups. These groups are doubles $F_2 ∗_H F_2$ of a rank-2 free group $F_2$ along an infinitely generated subgroup $H$. Varying $H$ yields uncountably many groups up to isomorphism.

Link to published paper:

Link to arXiv:

The associated thesis is linked here. Some of the proofs are simplified and generalised in the submitted paper on the journal.