Tamar Bar‐On

activity

20242026

collaborators

5 papers

math.NT2026

Cofinality of Galois Cohomology within Purely Quadratic Graded Algebras

Tamar Bar-On, Ido Efrat

Let $p$ be a prime number. For a field $F$ containing a root of unity of order $p$ , let $H^{∙} (F) = H^{∙} (F, F_{p})$ be the mod- $p$ Galois cohomology graded $\mathbb{F}…

math.GR2025

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.

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…