منابع مشابه
The Possibility of Extending Factorization Results to Infinite Abelian Groups
We shall consider three results on factoring finite abelian groups by subsets. These are the Hajós’, Rédei’s and simulation theorems. As L. Fuchs has done in the case of Hajós’ theorem we shall obtain families of infinite abelian groups to which these results cannot be extended. We shall then describe classes of infinite abelian groups for which the extension does hold. MSC 2000: 20K99 (primary...
متن کاملFactoring Certain Infinite Abelian Groups by Distorted Cyclic Subsets
We will prove that two results on factoring finite abelian groups into a product of subsets, related to Hajós’s and Rédei’s theorems, can be extended for certain infinite torsion abelian groups. Mathematics Subject Classification (2000): Primary 20K01; Secondary
متن کاملDescription of Infinite Dimensional Abelian Regular Lie Groups
It is shown that every abelian regular Lie group is a quotient of its Lie algebra via the exponential mapping. This paper is a sequel of [3], see also [4], chapter VIII, where a regular Lie group is defined as a smooth Lie group modeled on convenient vector spaces such that the right logarithmic derivative has a smooth inverse Evol : C(R, g) → C(R, G), the canonical evolution operator, where g ...
متن کاملnon-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 کاملQuantum Error-Correction Codes on Abelian Groups
We prove a general form of bit flip formula for the quantum Fourier transform on finite abelian groups and use it to encode some general CSS codes on these groups.
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: Bulletin of the American Mathematical Society
سال: 1955
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1955-09877-x