arXiv:2502.03626 Abstract | arXiv Analytics

arXiv:2502.03626 [math.GR]Abstract References Reviews Resources

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

Published 2025-02-05Version 1

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.

Categories: math.GR, math.AG

Keywords: cyclic splittings, finite direct products, abelian kernel, rips-sela theorems, finite groups

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