Cyclic splittings of pro-$\mathcal{C}$ groups
Group Theory
2025-09-30 v3 Algebraic Geometry
Abstract
In this paper we proved a pro- version of the Rips-Sela Theorems on splittings as an amalgamated free product or HNN-extension over a cyclic subgroup, where is a class of finite groups closed for subgroups, quotients, finite direct products and extensions with abelian kernel.
Cite
@article{arxiv.2502.03626,
title = {Cyclic splittings of pro-$\mathcal{C}$ groups},
author = {Jesus Berdugo and Pavel Zalesskii},
journal= {arXiv preprint arXiv:2502.03626},
year = {2025}
}