منابع مشابه
Ping-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.
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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 کاملPing Pong on Cat ( 0 ) Cube Complexes
Let G be a group acting properly and essentially on an irreducible, non-Euclidean finite dimensional CAT(0) cube complex X without a global fixed point at infinity. We show that for any finite collection of simultaneously inessential subgroups {H1, . . . , Hk} in G, there exists an element g of infinite order such that ∀i, 〈Hi, g〉 ∼= Hi ∗ 〈g〉. We apply this to show that any group, acting faithf...
متن کاملOn the Security of Ping-Pong Protocols
Consider the class of protocols, for two participants, in which the initiator applies a sequence of operators to a message M and sends it to the other participant ; in each step, one of the participants applies a sequence of operators to the message received last, and sends it back . This "ping-pong" action continues several times, using sequences of operators as specified by the protocol . The...
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.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1999
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7789