Kurosh Subgroup Theorem in Free Pro-p Products

2025/12/29 by Tamar Bar-On, Bar-On, Tamar
Mathematics · #Advanced Topology and Set Theory #Limits and Structures in Graph Theory #Geometric and Algebraic Topology

paper · doi:10.48550/arxiv.2512.23233

Abstract

We provide a sufficient condition under which a closed subgroup of a restricted free pro-p product is itself a free pro-p product.

Citations

• Relatively projective groups as absolute Galois groups

Related

• Relatively projective pro-p groups
• Splitting theorems for pro-p groups acting on pro-p trees and 2-generated subgroups of free pro-p products with procyclic amalgamations
• Second Countable Virtually Free Pro-p Groups whose Torsion Elements have Finite Centralizer
• Virtually free pro-p products
• On free decompositions of verbally closed subgroups of free products of\n finite groups