Geodesic
Quasi-isometry invariance of group splittings
Panos Papasoglu1
1Mathematics Department, National and Capodistrian University of Athens, Athens, Greece
Annals of mathematics, Tome 161 (2005) no. 2, pp. 759-830
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We show that a finitely presented one-ended group which is not commensurable to a surface group splits over a two-ended group if and only if its Cayley graph is separated by a quasi-line. This shows in particular that splittings over two-ended groups are preserved by quasi-isometries.

DOI : 10.4007/annals.2005.161.759

Panos Papasoglu  1

1 Mathematics Department, National and Capodistrian University of Athens, Athens, Greece 
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Panos Papasoglu. Quasi-isometry invariance of group splittings. Annals of mathematics, Tome 161 (2005) no. 2, pp. 759-830. doi: 10.4007/annals.2005.161.759

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