1 citations · 1 across the 7 of their papers we have counts for
9 papers
Infinite free pro-p products as absolute Galois groups
Tamar Bar-On
In this paper we prove a generalized version of Mel'nikov's Criterion, which has also been proved by Haran, and use it in order to connect the realization as absolute Galois groups…
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.
Cofinality of Galois Cohomology within Purely Quadratic Graded Algebras
Tamar Bar-On, Ido Efrat
Let be a prime number. For a field containing a root of unity of order , let be the mod- Galois cohomology graded $\mathbb{F}…
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…
Free product of Demushkin groups as absolute Galois group
Tamar Bar-On
We prove that a free profinite (pro-) product over a set converging to 1 of countably many Demushkin groups of rank , , that can be realized as absolute Galois gr…
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…
Demushkin groups of uncountable rank
Tamar Bar-On, Nikolay Nikolov
We extend the theory of countably generated Demushkin groups to Demushkin groups of arbitrary rank. We investigate their algebraic properties and invariants, count their isomorphis…