The almost weak specification property for ergodic group automorphisms of abelian groups
نویسندگان
چکیده
منابع مشابه
Automorphisms of Finite Abelian Groups
Much less known, however, is that there is a description of Aut(G), the automorphism group of G. The first compete characterization that we are aware of is contained in a paper by Ranum [1] near the turn of the last century. Beyond this, however, there are few other expositions. Our goal is to fill this gap, thereby providing a much needed accessible and modern treatment. Our characterization o...
متن کاملThe R ∞ Property for Abelian Groups
It is well known there is no finitely generated abelian group which has the R∞ property. We will show that also many non-finitely generated abelian groups do not have the R∞ property, but this does not hold for all of them! In fact we construct an uncountable number of infinite countable abelian groups which do have the R∞ property. We also construct an abelian group such that the cardinality o...
متن کاملInverse Correspondences in Automorphisms of Abelian Groups
The totality of the operators which correspond to their inverses in an automorphism of an abelian group G obviously constitutes a subgroup of G. I t is well known that G cannot contain any characteristic operator besides the identity unless this operator is of order 2, and that it cannot contain more than one characteristic operator of this order. Hence it results that whenever G contains any c...
متن کاملALMOST BLOCK INDEPENDENCE AND BERNOULLICITY OF Zd-ACTIONS BY AUTOMORPHISMS OF COMPACT ABELIAN GROUPS
We prove that a Z d-action by automorphisms of a compact, abelian group is Bernoulli if and only if it has completely positive entropy. The key ingredients of the proof are the extension of certain notions of asymptotic block independence from Z-actionsto Z d-action and their equivalence with Bernoullicity, and a surprisingly close link between one of these asymptotic block independence propert...
متن کاملAbelian Groups, Homomorphisms and Central Automorphisms of Nilpotent Groups
In this paper we find a necessary and sufficient condition for a finite nilpotent group to have an abelian central automorphism group.
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 the Mathematical Society of Japan
سال: 1990
ISSN: 0025-5645
DOI: 10.2969/jmsj/04220341