Cyclic splittings of pro-$\mathcal{C}$ groups

Published 5 Feb 2025 in math.GR and math.AG | (2502.03626v2)

Abstract: In this paper we proved a pro-$\mathcal{C}$ version of the Rips-Sela Theorems on splittings as an amalgamated free product or HNN-extension over a cyclic subgroup, where $\mathcal{C}$ is a class of finite groups closed for subgroups, quotients, finite direct products and extensions with abelian kernel.

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