Splittings and the asymptotic topology of the lamplighter group

It is known that splittings of finitely presented groups over 2-ended groups can be characterized geometrically. We show that this characterization does not extend to all finitely generated groups. Answering a question of Kleiner we show that the Cayley graph of the lamplighter group is coarsely sep...

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Bibliografiska uppgifter
Huvudupphovsman: Papasoglu, P
Materialtyp: Journal article
Språk:English
Publicerad: 2009