Residually rationally solvable one-relator groups
Group Theory
2025-09-22 v2
Abstract
We show that the intersection of the rational derived series of a one-relator group is rationally perfect and is normally generated by a single element. As a corollary, we characterise precisely when a one-relator group is residually rationally solvable.
Keywords
Cite
@article{arxiv.2407.09272,
title = {Residually rationally solvable one-relator groups},
author = {Marco Linton},
journal= {arXiv preprint arXiv:2407.09272},
year = {2025}
}
Comments
12 pages, v2 incorporating referee's comments. To appear in Bull. Lond. Math. Soc