2024/12/10 by Bar-On, Tamar, Nikolov, Nikolay
#FOS: Mathematics #Group Theory (math.GR)
paper · doi:10.48550/arxiv.2412.07699
We prove that every small profinite group can be decomposed into a direct product of indecomposable profinite groups, and that such a decomposition is unique up to order and isomorphisms of the components. We also investigate the cancellation property of some free pro-C groups, and give a new criterion for a profinite group to be small.