- 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.
- Publication status:
- Published
- Publisher copy:
- 10.1090/S0002-9947-2012-05578-4
-
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- Journal:
- TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
- Volume:
- 364
- Issue:
- 7
- Pages:
- 3861-3873
- Publication date:
- 2009-11-01
- DOI:
- EISSN:
-
1088-6850
- ISSN:
-
0002-9947
- URN:
-
uuid:586851dd-7d9b-4909-8403-7b0bcdeeab24
- Source identifiers:
-
191454
- Local pid:
- pubs:191454
- Language:
- English
- Keywords:
- Copyright date:
- 2009
- Notes:
- 11 pages
Journal article
Splittings and the asymptotic topology of the lamplighter group
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