25/2/20, 11:15, Aula Gris 2, ICMAT Andrei Jaikin (UAM and ICMAT)
Title: On one instance of L"uck approximation in characteristic $p$ and a Baumslag problem
Abstract: We prove that the L"uck approximation corresponding to an embedding of a group into a free pro-$p$ group holds in characteristic $p$. This allows us to present many new examples of abstract subgroups of free pro-$p$ groups. As a consequence, we solve a 50 years old problem raised by G. Baumslag: a free $mathbb Q$-group is residually torsion-free nilpotent.
Location 25/2/20, 11:15, Aula Gris 2, ICMAT Andrei Jaikin (UAM and ICMAT)