Localizations of finitely generated soluble groups
Niamh O'Sullivan
TL;DR
This paper investigates when localizations of finitely generated soluble groups remain soluble, focusing on the preservation of group-theoretic properties during localization.
Contribution
It provides criteria for the solubility of localized groups derived from finitely generated soluble groups, advancing understanding of localization effects.
Findings
Identifies conditions under which localizations preserve solubility.
Establishes new links between group localization and solubility properties.
Offers a framework for analyzing localizations of soluble groups.
Abstract
The study of localizations of groups has concentrated on group theoretic properties which are preserved by localization. In this paper we look at finitely generated soluble groups and determine when the local groups associated with them are soluble.
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
TopicsFinite Group Theory Research · Homotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology