1 citations · 1 across the 7 of their papers we have counts for
5 papers · 1 filter
Kurosh Subgroup Theorem in Free Pro-p Products
Tamar Bar-On
We provide a sufficient condition under which a closed subgroup of a restricted free pro-p product is itself a free pro-p product.
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…
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…
Pro- Poincaré-Duality groups of infinite rank
Tamar Bar-On
We introduce the class of \textit{Generalized Poincaré-Duality groups}: i.e, pro- groups of infinite rank which satisfy a Poincaré-duality. We prove some basic properties of Gen…
Groups of profinite type and profinite rigidity
Tamar Bar-On, Nikolay Nikolov
We say that a group is of \textit{profinite type} if it can be realized as a Galois group of some field extension. Using Krull's theory, this is equivalent to the ability of $G…