English

On some relatively free pro-p groups

Group Theory 2025-05-09 v1

Abstract

It is shown that the relatively free centre-by-metabelian and (class-2 nilpotent)-by-abelian pro-p groups on 2 generators are each finitely axiomatizable in the class of all profinite groups.

Keywords

Cite

@article{arxiv.2505.04816,
  title  = {On some relatively free pro-p groups},
  author = {Dan Segal},
  journal= {arXiv preprint arXiv:2505.04816},
  year   = {2025}
}
R2 v1 2026-06-28T23:25:05.449Z