On some relatively free pro-p groups

2025/05/07 by Dan Segal, Segal, Dan
Mathematics · #Rings, Modules, and Algebras #Geometric and Algebraic Topology #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.2505.04816

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.

Citations

• A profinite analogue of Lasserre's theorem

Related

• On the finite axiomatizability of some metabelian profinite groups
• A profinite analogue of Lasserre's theorem
• Embeddings into pro-p groups and the construction of parafree groups
• Profinite groups in which centralizers are abelian
• The classifications of countably based profinite abelian groups