منابع مشابه
Currents on Free Groups
We study the properties of geodesic currents on free groups, particularly the " intersection form " that is similar to Bonahon's notion of the intersection number between geodesic currents on hyperbolic surfaces .
متن کامل1 9 Se p 20 05 CURRENTS ON FREE GROUPS
We study the properties of geodesic currents on free groups, particularly the " intersection form " that is similar to Bonahon's notion of the intersection number between geodesic currents on hyperbolic surfaces .
متن کاملGeometric Entropy of Geodesic Currents on Free Groups
A geodesic current on a free group F is an F -invariant measure on the set ∂F of pairs of distinct points of ∂F . The space of geodesic currents on F is a natural companion of Culler-Vogtmann’s Outer space cv(F ) and studying them together yields new information about both spaces as well as about the group Out(F ). The main aim of this paper is to introduce and study the notion of geometric ent...
متن کاملGeodesic Currents and Length Compactness for Automorphisms of Free Groups
We prove a compactness theorem for automorphisms of free groups. Namely, we show that the set of automorphisms keeping bounded the length of the uniform current is compact (up to conjugation.) This implies that the spectrum of the length of the images of the uniform current is discrete, answering to a conjecture of I. Kapovich.
متن کاملOn the rational subset problem for groups
We use language theory to study the rational subset problem for groups and monoids. We show that the decidability of this problem is preserved under graph of groups constructions with finite edge groups. In particular, it passes through free products amalgamated over finite subgroups and HNN extensions with finite associated subgroups. We provide a simple proof of a result of Grunschlag showing...
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: Geometriae Dedicata
سال: 2012
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-012-9797-y