Theorem shows unique direct product decomposition in profinite groups, suggesting new criteria for small groups.
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 C groups, and give a new criterion for a profinite group to be small.
No takes yet. Share an insight, caveat, or question.
Bar-On et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: