Wrong way maps in uniformly finite homology and homology of groups
نویسندگان
چکیده
منابع مشابه
Thompson’s Group F and Uniformly Finite Homology
This paper demonstrates the uniformly finite homology developed by Block and Weinberger and its relationship to amenable spaces via applications to the Cayley graph of Thompson’s Group F . In particular, a certain class of subgraph of F is shown to be non-amenable (in the Følner sense). This shows that if F is amenable, these subsets (which include every finitely generated submonoid of the posi...
متن کاملOn Exponents of Homology and Cohomology of Finite Groups
Let G be a finite group and let r be the maximum of the p-ranks of G for all primes p dividing the order to G. There exist positive integers m and n such that the exponents of Hn(G,Z) and Hm(G, Z) are greater than Suppose that G is a finite group. It has long been known that the exponent of Hn(G, Z) divides |G|, the order of G, for all n > 0. Beyond this fact very little has been established co...
متن کاملComputing the homology of groups: the geometric way
In this paper we present several algorithms related with the computation of the homology of groups, from a geometric perspective (that is to say, carrying out the calculations by means of simplicial sets and using techniques of Algebraic Topology). More concretely, we have developed some algorithms which, making use of the effective homology method, construct the homology groups of Eilenberg-Ma...
متن کاملHomology of jet groups
In this paper we compute the second homology of the discrete jet groups. Let R be the additive group of real numbers and R the multiplicative group of positive reals. The n jet group Jn = {rx+a2x + · · ·+anx | r ∈ R, ai ∈ R} is the group, under composition followed by truncation, of invertible, orientationpreserving real n-jets at 0. Consider the homomorphism D : Jn → R obtained by projecting o...
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 Homotopy and Related Structures
سال: 2017
ISSN: 2193-8407,1512-2891
DOI: 10.1007/s40062-017-0187-x