Incoherent negatively curved groups
نویسندگان
چکیده
منابع مشابه
Negatively Curved Groups
The notion of a negatively curved group is at first highly non-intuitive because it links two areas of mathematics that are not usually associated with one another. Curvature is generally a property that we associate with geometric objects like curves or surfaces in R, while a group is an algebraic structure that we associate with objects like integers or matrices. However, there is a way to de...
متن کاملNegatively Curved Groups and the Convergence Property Ii: Transitivity in Negatively Curved Groups
Let G be a negatively curved group. This paper continues the classiication of limit points of G that began in part I. A probability measure is constructed on the space at innnity and with respect to this measure almost every point at innnity is shown to be line transitive.
متن کاملPing-pong on Negatively Curved Groups
We generalize results about the classical Schottky groups to quasiconvex subgroups in negatively curved groups, answering a question of M. Bestvina.
متن کاملSeparable Subsets of Gferf Negatively Curved Groups
A word hyperbolic group G is called GFERF if every quasiconvex subgroup coincides with the intersection of finite index subgroups containing it. We show that in any such group, the product of finitely many quasiconvex subgroups is closed in the profinite topology on G.
متن کاملFinite automorphisms of negatively curved Poincaré Duality groups
In this paper, we show that if G is a finite p-group (p prime) acting by automorphisms on a δ-hyperbolic Poincaré Duality group over Z, then the fixed subgroup is a Poincaré Duality group over Zp. We also provide a family of examples to show that the fixed subgroup might not be a Poincaré Duality group over Z. In fact, the fixed subgroups in our examples even fail to be duality groups over Z.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1998
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-98-04146-x