Straightening Theorem for bounded Abelian groups
نویسندگان
چکیده
منابع مشابه
non-divisibility for abelian groups
Throughout all groups are abelian. We say a group G is n-divisible if nG = G. If G has no non-zero n-divisible subgroups for all n>1 then we say that G is absolutely non-divisible. In the study of class C consisting all absolutely non-divisible groups such as G, we come across the sub groups T_p(G) = the sum of all p-divisible subgroups and rad_p(G) = the intersection of all p^nG. The proper...
متن کاملHindman’s Theorem in Abelian Groups
Hindman’s theorem tells us that for every finite colouring/partition of the natural numbers, there is an infinite subset X for which every finite subset X0 Ď X has the same colour for ř X0. Certain generalisations of this theorem to abelian groups are known to fail in the uncountable case but an example exists for boolean groups when the desired homogeneous set is finite. In this paper, I will ...
متن کاملBarycentric Straightening and Bounded Cohomology
We study the barycentric straightening of simplices in higher rank irreducible symmetric spaces of non-compact type. We show that, for an n-dimensional symmetric space of rank r ≥ 2 (excluding S L(3,R)/S O(3) and S L(4,R)/S O(4)), the p-Jacobian has uniformly bounded norm, provided p ≥ n − r + 2. As a consequence, for the corresponding non-compact, connected, semisimple real Lie group G, in deg...
متن کاملA Freiman-type theorem for locally compact abelian groups
— Suppose that G is a locally compact abelian group with a Haar measure μ. The δ-ball Bδ of a continuous translation invariant pseudo-metric is called d-dimensional if μ(B2δ′ ) 6 2μ(Bδ′ ) for all δ′ ⊂ (0, δ]. We show that if A is a compact symmetric neighborhood of the identity with μ(nA) 6 ndμ(A) for all n > d log d, then A is contained in an O(d log d)-dimensional ball, B, of positive radius ...
متن کاملA generalized sampling theorem for locally compact abelian groups
We present a sampling theorem for locally compact abelian groups. The sampling sets are finite unions of cosets of a closed subgroup. This generalizes the well-known case of non-equidistant but periodic sampling on the real line. For non-bandlimited functions an L1-type estimate for the aliasing error is given. We discuss the application of the theorem to a class of sampling sets in Rs; give a ...
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: Topology and its Applications
سال: 2008
ISSN: 0166-8641
DOI: 10.1016/j.topol.2007.07.010