Polynomially bounded cohomology and discrete groups
نویسندگان
چکیده
منابع مشابه
Polynomially bounded cohomology and discrete groups
We establish the homological foundations for studying polynomially bounded group cohomology, and show that the natural map from PH∗(G;Q) to H∗(G;Q) is an isomorphism for a certain class of groups. © 2004 Elsevier B.V. All rights reserved. MSC: 18G10; 18G40; 13D99; 16E30; 20J05; 20F05; 20F65
متن کاملA Spectral Sequence for Polynomially Bounded Cohomology
We construct an analogue of the Lyndon-HochschildSerre spectral sequence in the context of polynomially bounded cohomology. For G an extension of Q by H, this spectral sequences converges to the polynomially bounded cohomology of G, HP ∗(G). If the extension is a polynomial extension in the sense of Noskov with H and Q isocohomological and Q of type HF∞, the spectral sequence has E 2 -term HP (...
متن کاملBounded Cohomology Characterizes Hyperbolic Groups
A finitely presentable group G is hyperbolic if and only if the map H2 b (G, V ) → H2(G, V ) is surjective for any bounded G-module. The ‘only if’ direction is known and here we prove the ‘if’ direction. We also consider several ways to define a linear homological isoperimetric inequality.
متن کاملBounded Cohomology and Combings of Groups
We adopt the notion of combability of groups defined in [Ghys2]. An example is given of a combable group which is not residually finite. Two of the eight 3-dimensional geometries, e Sl2(R) and H ×R, are quasiisometric. Three dimensional geometries are classified up to quasiisometry. Seifert fibred manifolds over hyperbolic orbifolds have bicombable fundamental groups. Every combable group satis...
متن کاملCyclic Cohomology for Discrete Groups
We survey the cyclic cohomology associated with various algebras related to discrete groups. We then discuss the motivation and techniques of the cyclic theory approach to various problems in algebra and analysis.
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: Journal of Pure and Applied Algebra
سال: 2005
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2004.06.009