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arXiv · 0911.0186

Splittings and the asymptotic topology of the lamplighter group

Panos Papasoglu
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Abstract

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 separated by quasi-circles.

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Panos Papasoglu. 2009-11-01. Splittings and the asymptotic topology of the lamplighter group. https://arxiv.org/abs/0911.0186

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