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math.GR2023
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…
math.GR2023
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…
math.NT2023★ 1 cited
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…