Relations between Various Boundaries of Relatively hyperbolic Groups
نویسنده
چکیده
Suppose a group G is relatively hyperbolic with respect to a collection P of its subgroups and also acts properly, cocompactly on a CAT (0) (or δ–hyperbolic) space X. The relatively hyperbolic structure provides a relative boundary ∂(G,P). The CAT (0) structure provides a different boundary at infinity ∂X. In this article, we examine the connection between these two spaces at infinity. In particular, we show that ∂(G,P) is G–equivariantly homeomorphic to the space obtained from ∂X by identifying the peripheral limit points of the same type.
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عنوان ژورنال:
- IJAC
دوره 23 شماره
صفحات -
تاریخ انتشار 2013