A Problem on Endomorphisms of Primary Abelian Groups
نویسندگان
چکیده
منابع مشابه
Endomorphisms of Compact Abelian Groups Minimize Entropy
The entropy conjecture for tori has been settled a long time ago by Misiurewicz and Przytycki. We show that their result extends from tori to compact and connected abelian groups. We give stronger results for hyperbolic automorphisms. Throughout this paper G denotes a compact and connected metric abelian group. The group operation on G is written additively.
متن کاملIterated Endomorphisms of Abelian Algebraic Groups
Given an abelian algebraic group A over a global field K, α ∈ A(K), and a prime l, the set of all preimages of α under some iterate of [l] has a natural tree structure. Using this data, we construct an “arboreal” Galois representation ω whose image combines that of the usual l-adic representation and the Galois group of a certain Kummer-type extension. For several classes of A, we give a simple...
متن کاملOn Countable Extensions of Primary Abelian Groups
It is proved that if A is an abelian p-group with a pure subgroup G so that A/G is at most countable and G is either p-totally projective or p-summable, then A is either p-totally projective or p-summable as well. Moreover, if in addition G is nice in A, then G being either strongly p-totally projective or strongly p-summable implies that so is A. This generalizes a classical result of Wallace ...
متن کاملA solution to a problem on lattice isomorphic Abelian groups
This paper completes the solution to the problem of deciding when two Abelian groups will have the lattices of their subgroups isomorphic.
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: Proceedings of the American Mathematical Society
سال: 1966
ISSN: 0002-9939
DOI: 10.2307/2035404