Metabelian Wreath Products Are LERF
Roger C. Alperin
TL;DR
This paper proves that wreath products of finitely generated abelian groups are LERF, which implies that free metabelian groups also possess the LERF property, advancing understanding of subgroup separability.
Contribution
It establishes that metabelian wreath products are LERF, a significant extension of subgroup separability results to a broad class of groups.
Findings
Wreath products of finitely generated abelian groups are LERF.
Free metabelian groups are LERF.
Advances subgroup separability theory in group theory.
Abstract
We show that a wreath product of two finitely generated abelian groups is LERF. Consequently the free metabelian groups are LERF.
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.
Taxonomy
TopicsGeometric and Algebraic Topology · Rings, Modules, and Algebras · Mathematical Dynamics and Fractals