Frobenius subgroups of free profinite products

Abstract

We solve an open problem of Herfort and Ribes: Profinite Frobenius groups of certain type do occur as closed subgroups of free profinite products of two profinite groups. This also solves a question of Pop about prosolvable subgroups of free profinite products.

arXiv commentto appear in the Bulletin of the LMS

Cited by in corpus (3)

• Splitting theorems for pro-$p$ groups acting on pro-$p$ trees and 2-generated subgroups of free pro-$p$ products with procyclic amalgamations
• Prosoluble subgroups of free profinite products
• Finite groups can be generated by a pi-subgroup and a pi'-subgroup