On transfinite nilpotence of the Vogel-Levine localization
Roman Mikhailov
TL;DR
This paper constructs a finitely-presented group demonstrating that its Vogel-Levine localization can be non-transfinitely nilpotent, providing a counterexample to a problem posed by J. P. Levine.
Contribution
It presents the first known example of a finitely-presented group with a Vogel-Levine localization that is not transfinitely nilpotent, resolving an open problem.
Findings
Counterexample to Levine's problem
Vogel-Levine localization not transfinitely nilpotent
Advances understanding of group localizations
Abstract
We construct a finitely-presented group such that its Vogel-Levine localization is not transfinitely nilpotent. This answers a problem of J. P. Levine.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.