Results 1 to 10 of about 11,401 (247)
Characterized Subgroups of Topological Abelian Groups [PDF]
Axioms, 2015 A subgroup H of a topological abelian group X is said to be characterized by a sequence v = (vn) of characters of X if H = {x ∈ X : vn(x) → 0 in T}. We study the basic properties of characterized subgroups in the general setting, extending results known ...
Dikran Dikranjan +2 more
doaj +7 more sources
Balanced subgroups of abelian groups [PDF]
Transactions of the American Mathematical Society, 1975 The balanced subgroups of Fuchs are generalised to arbitrary abelian groups. Projectives and injectives with respect to general balanced exact sequences are classified; a new class of groups is introduced in order to classify these projectives.
R. Hunter
semanticscholar +4 more sources
On uniformly fully inert subgroups of abelian groups
Topological Algebra and its Applications, 2020 If H is a subgroup of an abelian group G and φ ∈ End(G), H is called φ-inert (and φ is H-inertial) if φ(H) ∩ H has finite index in the image φ(H). The notion of φ-inert subgroup arose and was investigated in a relevant way in the study of the so called ...
Dardano Ulderico +2 more
doaj +2 more sources
Solitary subgroups of Abelian groups
Expositiones Mathematicae, 2020 A subgroup \(K\) of an abelian group \(G\) is called solitary if \(G\) contains no other subgroup isomorphic to \(K\). The paper is dedicated to the study of solitary subgroups for some important classes of abelian groups. Complete descriptions are presented in Theorem 3 and Theorem 4.
G. Călugăreanu, A. Chekhlov
semanticscholar +4 more sources
On The Almost almost Dense and Pure-4 Subgroups of Abelian Groups
Journal of Physics: Conference Series, 2019 We gave the some general properties of anew subgroups which are called pure (1-2-3) subgroups of abelian group G. And he gave some new results of minimal neat subgroups of abelian groups. “L. Fuchs” poses the problem of characterizing the subgroups of an
H. M. A. Abdullah, Faze N Ghaffoori
openalex +2 more sources
Coverings of Groups by Abelian Subgroups [PDF]
Canadian Journal of Mathematics, 1978 Paul Erdôs has suggested an investigation of infinite groups from the point of view of the partition relations of set theory. In particular, he suggested that given a group G, one considers the graph T with vertex set G whose edges are the pairs ﹛g, h﹜ which do not commute.
Vance Faber +2 more
openalex +3 more sources
Imbedded subgroups of abelian groups [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1990 AbstractA subgroupHof an abelianp–groupGis pure inGif the inclusion map ofHintoGis an isometry with respect to the (pseudo-) metrics onHandGassociated with theirp–adic topologies. In this paper, those subgroups (called here imbedded subgroups) of abelian groups for which the inclusion is a homeomorphism with respect to thep–adic topologies are studied,
W. Berlinghoff, J. Moore, J. Reid
semanticscholar +2 more sources
Characterizing subgroups of compact abelian groups [PDF]
Journal of Pure and Applied Algebra, 2004 12 ...
D. Dikranjan, K. Kunen
semanticscholar +5 more sources
Fully inert subgroups of Abelian p-groups☆ [PDF]
Journal of Algebra, 2014 A subgroup \(H\) of an Abelian group \(G\) is \textit{fully inert} if the index \([\varphi(H):H\cap\varphi(H)]\) is finite for every endomorphism \(\varphi\) of \(G\). This paper is devoted to the study of fully inert subgroups of Abelian \(p\)-groups.
B. Goldsmith, L. Salce, P. Zanardo
semanticscholar +5 more sources
Abelian subgroups of two‐dimensional Artin groups [PDF]
Bulletin of the London Mathematical Society, 2020 We classify abelian subgroups of two‐dimensional Artin groups.
Alexandre Martin, P. Przytycki
semanticscholar +5 more sources