Weak hyperbolicity and free constructions

Details Weak hyperbolicity and free constructions Weak hyperbolicity and free constructions

2004-04-05

arxiv.org/abs/math/0404074v1

Mathematics

Group Theory

9 pages; to appear in Contemp. Math

Scientific paper

The aim of this note is to show that weak relative hyperbolicity of a group
relative to a subgroup (or relative hyperbolicity in the sense of Farb) does
not imply any natural analogues of some well-known algebraic properties of
ordinary hyperbolic groups. Our main tools are combination theorems for weakly
relatively hyperbolic groups.

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