English

On the cokernel of the Baumslag rationalization

Group Theory 2021-03-15 v3 Category Theory

Abstract

We prove that for the free group of rank two FF the cokernel of the homomorphism to its Baumslag rationalization FBau(F)F\to {\sf Bau}(F) is not abelian. Moreover, this cokernel contains a free subgroup of countable rank. This answers a question of Emmanuel Farjoun.

Cite

@article{arxiv.2102.04045,
  title  = {On the cokernel of the Baumslag rationalization},
  author = {Sergei O. Ivanov},
  journal= {arXiv preprint arXiv:2102.04045},
  year   = {2021}
}
R2 v1 2026-06-23T22:55:46.496Z