2 papers
math.GR2025
Jordan-Holder Theorem for profinite groups and applications
Tamar Bar-On, Nikolay Nikolov
We generalize the notions of composition series and composition factors for profinite groups, and prove a profinite version of the Jordan-Holder Theorem. We apply this to prove a G…
math.GR2024
Krull-Schmidt Theorem for small profinite groups
Tamar Bar-On, Nikolay Nikolov
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 isomor…