The Bohr topology of discrete non abelian groups
View/ Open
Metadata
Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadata
Title
The Bohr topology of discrete non abelian groupsAuthor (s)
Date
2008Publisher
Heldermann VerlagISSN
09495932Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/sumittedVersionSubject
Abstract
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 [-]
Rights
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
This item appears in the folowing collection(s)
- MAT_Articles [766]