The Bohr topology of discrete non abelian groups
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The Bohr topology of discrete non abelian groupsAutoria
Data de publicació
2008Editor
Heldermann VerlagISSN
09495932Tipus de document
info:eu-repo/semantics/articleVersió
info:eu-repo/semantics/sumittedVersionParaules clau / Matèries
Resum
We look at finitely generated Bohr groups G# (groups G equipped with the topology inherited from their Bohr compactification bG). Among others, the following results are proved: every finitely generated group without ... [+]
We look at finitely generated Bohr groups G# (groups G equipped with the topology inherited from their Bohr compactification bG). Among others, the following results are proved: every finitely generated group without free non abelian subgropus either contains non trivial convergent sequiences in G# or is a finite extension of an abelian group; containing the free non abelian group with two generators does not have the extension property for finite dimensional representations, therefore, it does not belong to the class D introduced by Poguntke in [27]: if a countable FC group, then the topology that the commutator subgroup [G,G] inherits from G# is profinite and metrizable [-]
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