2022/09/17 by Dan Segal, Segal, Dan · 1 citation
Mathematics · #Rings, Modules, and Algebras #Mathematics and Applications #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2209.08279
A soluble pro-p group of finite rank is finitely axiomatizable in the class of all profinite groups if and only if for each open subgroup H, the image of Z(H) in the abelianization of H is finite, subject to some suitable hypothesis of finite presentability.