Rips and Sela (1995) introduced the notion of globally stable cylinders and asked if all Gromov hyperbolic groups admit such. We prove that hyperbolic cubulated groups admit globally stable cylinders.
机构:
Tohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, JapanTohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, Japan
Fujiwara, Koji
Toyoda, Tetsu
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机构:
Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, JapanTohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, Japan
机构:
Inst Montpellierain Alexander Grothendieck, 499-554 Rue Truel, F-34090 Montpellier, FranceInst Montpellierain Alexander Grothendieck, 499-554 Rue Truel, F-34090 Montpellier, France