منابع مشابه
Hindman’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 کاملFreiman’s Theorem in an Arbitrary Abelian Group
A famous result of Freiman describes the structure of finite sets A ⊆ Z with small doubling property. If |A + A| 6 K|A| then A is contained within a multidimensional arithmetic progression of dimension d(K) and size f(K)|A|. Here we prove an analogous statement valid for subsets of an arbitrary abelian group.
متن کاملOn abelian versions of critical factorization theorem
In the paper we study abelian versions of the Critical Factorization Theorem. We investigate both similarities and differences between the abelian powers and the usual powers. The results we obtained show that the constraints for abelian powers implying periodicity should be quite strong, but still natural analogies exist. 1991 Mathematics Subject Classification. 68R15.
متن کاملOn the Non-Abelian Stokes Theorem
We present the non-Abelian Stokes theorem for the Wilson loop in various forms and discuss its meaning. Its validity has been recently questioned by Faber, Ivanov, Troitskaya and Zach. We demonstrate that all points of their criticism are based on mistakes in mathematics. Finally, we derive a variant of our formula for the Wilson loop in lattice regularization.
متن کاملThe Abelian Hopf H mod K Theorem
We study the symmetries of periodic solutions obtained from Hopf bifurcation in systems with finite abelian symmetries. The H mod K Theorem gives necessary and sufficient conditions for the existence of periodic solutions with spatial symmetries K and spatio-temporal symmetries H in systems with finite symmetry group Γ. Our main result, the Abelian Hopf H mod K Theorem, gives necessary and suff...
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 Number Theory
سال: 2005
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2004.07.015