Groups of profinite type and profinite rigidity
Abstract: We say that a group is of profinite type if it can be realized as a Galois group of some field extension. Using Krull’s theory, this is equivalent to admitting a profinite topology. We also say that a group of profinite type is profinitely rigid if it admits a unique profinite topology. In this paper, we study when abelian groups and some group extensions are of profinite type or profinitely rigid. We also discuss the connection between the properties of profinite type and profinite rigidity to the injectivity and surjectivity of the cohomology comparison maps, which were studied by Sury and other authors.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
Groups of profinite type and profinite rigidity ; volume:27 ; number:6 ; year:2024 ; pages:1151-1169 ; extent:19
Journal of group theory ; 27, Heft 6 (2024), 1151-1169 (gesamt 19)
- Urheber
-
Bar-On, Tamar
Nikolov, Nikolay
- DOI
-
10.1515/jgth-2023-0228
- URN
-
urn:nbn:de:101:1-2411011716208.408318491116
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
15.08.2025, 07:26 MESZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Bar-On, Tamar
- Nikolov, Nikolay
Ähnliche Objekte (12)
Rigidity for Unirational Groups
Characters on infinite groups and rigidity
Strong rigidity of arithmetic Kac-Moody groups
On the profinite rigidity of free and surface groups
Action rigidity for free products of hyperbolic manifold groups
Physiopathology of rigidity
Rigidity and geometry of microstructures
Geometry and rigidity of microstructures
Harmonic maps of infinite energy and rigidity results for representations of fundamental groups of quasiprojective varieties
Some rigidity aspects in von Neumann algebras and C*-algebras arising from groups
Beauville p-groups of wild type and groups of maximal class
Rank rigidity and symmetry
Rigidity for Unirational Groups
Characters on infinite groups and rigidity
Strong rigidity of arithmetic Kac-Moody groups
On the profinite rigidity of free and surface groups
Action rigidity for free products of hyperbolic manifold groups
Physiopathology of rigidity
Rigidity and geometry of microstructures
Geometry and rigidity of microstructures
Harmonic maps of infinite energy and rigidity results for representations of fundamental groups of quasiprojective varieties
Some rigidity aspects in von Neumann algebras and C*-algebras arising from groups
Beauville p-groups of wild type and groups of maximal class
Rank rigidity and symmetry
Rigidity for Unirational Groups
Characters on infinite groups and rigidity
Strong rigidity of arithmetic Kac-Moody groups
On the profinite rigidity of free and surface groups
Action rigidity for free products of hyperbolic manifold groups
Physiopathology of rigidity
Rigidity and geometry of microstructures
Geometry and rigidity of microstructures
Harmonic maps of infinite energy and rigidity results for representations of fundamental groups of quasiprojective varieties
Some rigidity aspects in von Neumann algebras and C*-algebras arising from groups
Beauville p-groups of wild type and groups of maximal class