Kazhdan Constants of Group Extensions
نویسنده
چکیده
We give bounds on Kazhdan constants of abelian extensions of (finite) groups. As a corollary, we improved known results of Kazhdan constants for some meta-abelian groups and for the relatively free group in the variety of p-groups of lower p-series of class 2. Furthermore, we calculate Kazhdan constants of the tame automorphism groups of the free nilpotent groups.
منابع مشابه
Functions of Conditionally Negative Type on Kazhdan Groups
An explicit bound is given for functions of conditionally negative type on Kazhdan groups, in terms of a set of generators and the corresponding Kazhdan constants. This is used to estimate how far a set in an infinite measure space can be translated by the action of a Kazhdan group. Some estimates are given for Kazhdan constants.
متن کاملKazhdan Constants of Hyperbolic Groups ∗
Let H be an infinite hyperbolic group with Kazhdan property (T ) and let κ(H,X) denote the Kazhdan constant of H with respect to a generating set X . We prove that infX κ(H,X)= 0, where the infimum is taken over all finite generating sets of H . In particular, this gives an answer to a Lubotzky question.
متن کاملOn Kazhdan Constants and Mixing of Random Walks
Let G be a group with Kazhdan’s property (T), and let S be a transitive generating set (there exists a group H ⊂ Aut(G) which acts transitively on S.) In this paper we relate two definitions of the Kazhdan constant and the eigenvalue gap in this case. Applications to various random walks on groups, and the product replacement random algorithm, are also presented.
متن کاملSe p 20 05 GENERALIZED JONES TRACES AND KAZHDAN – LUSZTIG BASES
We develop some applications of certain algebraic and combinatorial conditions on the elements of Coxeter groups, such as elementary proofs of the pos-itivity of certain structure constants for the associated Kazhdan–Lusztig basis. We also explore some consequences of the existence of a Jones-type trace on the Hecke algebra of a Coxeter group, such as simple procedures for computing leading ter...
متن کامل2 00 7 Generalized Jones Traces and Kazhdan – Lusztig Bases
We develop some applications of certain algebraic and combinatorial conditions on the elements of Coxeter groups, such as elementary proofs of the pos-itivity of certain structure constants for the associated Kazhdan–Lusztig basis. We also explore some consequences of the existence of a Jones-type trace on the Hecke algebra of a Coxeter group, such as simple procedures for computing leading ter...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- IJAC
دوره 20 شماره
صفحات -
تاریخ انتشار 2010