Relative hyperbolization of (one-ended hyperbolic)-by-cyclic groups
Gautero, François ; Lustig, Martin
HAL, hal-00808792 / Harvested from HAL
Text on HAL
We show that the semi-direct product of a one-ended torsion-free word-hyperbolic group G with Z is a hyperbolic group relative to certain canonical subgroups of G on which the automorphism coming from the action of Z on G acts periodically or with linear growth.
Publié le : 2004-07-05
Classification:  mapping-torus,  relative hyperbolicity,  combination theorem,  surface homeomorphism,  [MATH.MATH-MG]Mathematics [math]/Metric Geometry [math.MG] 
@article{hal-00808792,
     author = {Gautero, Fran\c cois and Lustig, Martin},
     title = {Relative hyperbolization of (one-ended hyperbolic)-by-cyclic groups},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00808792}
}

Gautero, François; Lustig, Martin. Relative hyperbolization of (one-ended hyperbolic)-by-cyclic groups. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00808792/