Small profinite groups

Small profinite groups

We propose a model-theoretic framework for investigating profinite groups. Within this framework we define and investigate small profinite groups. We consider the question if any small profinite group has an open abelian subgroup.

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Veröffentlicht in:The Journal of symbolic logic 2001-06, Vol.66 (2), p.859-872
1. Verfasser: Newelski, Ludomir
Format: Artikel
Sprache:eng
Schlagworte:
Automorphisms
Category theory
Definable sets
Equivalence relation
Group structure
Homeomorphism
Model theory
Topological compactness
Topological spaces
Topology
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Beschreibung
Zusammenfassung:We propose a model-theoretic framework for investigating profinite groups. Within this framework we define and investigate small profinite groups. We consider the question if any small profinite group has an open abelian subgroup.
ISSN:0022-4812
1943-5886
DOI:10.2307/2695049