S. Ivanov

activity

20072024

most citedConjugation-invariant norms on groups of geometric origin

29 citations · 187 across the 52 of their papers we have counts for

collaborators

Showing 2021 · math.GRShow all

3 papers · 2 filters

math.GR2021

HR-length of a free group via polynomial functors

Sergei O. Ivanov, Roman Mikhailov

We prove that for a subring $R \subseteq Q$ and a free group $F$ of rank at least $2$ the length of the Bousfield's $H R$ -localization tower for $F$ is at least $ω + ω$ . The ke…

math.GR2021

Homology of the pronilpotent completion and cotorsion groups

Mikhail Basok, Sergei O. Ivanov, Roman Mikhailov

For a non-cyclic free group $F$ , the second homology of its pronilpotent completion $H_{2} (F)$ is not a cotorsion group.

math.GR2021

On the cokernel of the Baumslag rationalization

Sergei O. Ivanov

We prove that for the free group of rank two $F$ the cokernel of the homomorphism to its Baumslag rationalization $F \to Bau (F)$ is not abelian. Moreover, this cokernel contai…