Prosoluble subgroups of free profinite products

Abstract

We describe free prosoluble subgroups of a free product of profinite groups by strengthening the theorem of Frorian Pop and answering two questions of K. Ersoy and W. Herfort. Relatively projective prosoluble groups are also described.

Theorem 1.5 of this version is proved within slightly more general definition of relative projectivity (see Definition 5.1.1 in D. Haran and M. Jarden, The absolute Galois Group of a Semi-local Field, Springer, 2021) than in the version to appear in Forum of Mathematics, Sigma

Cited by in corpus (1)

• Prosoluble subgroups of the profinite completion of the fundamental group of compact 3-manifolds