Abelian groups in which endomorphic images are fully invariant
نویسندگان
چکیده
منابع مشابه
On Varieties of Groups in Which All Periodic Groups Are Abelian
To solve a number of problems on varieties of groups, stated by Kleiman, Kuznetsov, Ol’shanskii, Shmel’kin in the 1970’s and 1980’s, we construct continuously many varieties of groups in which all periodic groups are abelian and whose pairwise intersections are the variety of all abelian groups.
متن کاملEndomorphic Presentations of Branch Groups
We introduce “endomorphic presentations”, or L-presentations: group presentations whose relations are iterated under a set of substitutions on the generating set, and show that a broad class of groups acting on rooted trees admit explicitly constructible finite L-presentations, generalising results by Igor Lysionok and Said Sidki.
متن کاملOplus-supplemented modules with respect to images of a fully invariant submodule
Lifting modules and their various generalizations as some main concepts in module theory have been studied and investigated extensively in recent decades. Some authors tried to present some homological aspects of lifting modules and -supplemented modules. In this work, we shall present a homological approach to -supplemented modules via fully invariant submodules. Lifting modules and H-suppleme...
متن کاملShift Invariant Spaces and Shift Preserving Operators on Locally Compact Abelian Groups
We investigate shift invariant subspaces of $L^2(G)$, where $G$ is a locally compact abelian group. We show that every shift invariant space can be decomposed as an orthogonal sum of spaces each of which is generated by a single function whose shifts form a Parseval frame. For a second countable locally compact abelian group $G$ we prove a useful Hilbert space isomorphism, introduce range funct...
متن کاملWhich 3-manifold Groups Are Kähler Groups?
The question in the title, first raised by Goldman and Donaldson, was partially answered by Reznikov. We give a complete answer, as follows: if G is both a (closed) 3-manifold group and a Kähler group, then G must be finite.
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 Algebra
سال: 1974
ISSN: 0021-8693
DOI: 10.1016/0021-8693(74)90097-0