Results 11 to 20 of about 84,430 (244)
The general product of two finitely generated abelian groups [PDF]
Proceedings of the American Mathematical Society, 1969 E. Schenkman
semanticscholar +4 more sources
Minimal additive complements in finitely generated abelian groups [PDF]
The Ramanujan Journal, 2019 Given two nonempty subsets W,W′⊆G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin ...
Arindam Biswas, Jyoti Prakash Saha
semanticscholar +6 more sources
On structure analysis of finitely generated abelian groups [PDF]
World Journal of Advanced Research and Reviews, 2022 In this paper we give an overview of the structural analysis of finitely generated abelian groups and modules. We give an overview of recent results on the structure theory of these objects in various situations, in particular in the case of torsionfree groups of infinite rank. We also mention several open problems.
Yang Liu
+4 more sources
Polynilpotent Multipliers of Finitely Generated Abelian Groups [PDF]
, 2011 17 ...
Behrooz Mashayekhy, Mohsen Parvizi
openalex +3 more sources
Which finitely generated Abelian groups admit isomorphic Cayley graphs? [PDF]
Geometriae Dedicata, 2012 We show that Cayley graphs of finitely generated Abelian groups are rather rigid. As a consequence we obtain that two finitely generated Abelian groups admit isomorphic Cayley graphs if and only if they have the same rank and their torsion parts have the same cardinality.
Clara Löh
openalex +4 more sources
On abelian subgroups of finitely generated metabelian groups [PDF]
Journal of Group Theory, 2013 In this note we introduce the class of $\mathcal H$-groups (or Hall groups) related to the class of $\mathcal B$-groups defined by Ph. Hall in 1950's. Establishing some basic properties of Hall groups we use them to obtain results concerning embeddings of abelian groups.
Vahagn H. Mikaelian +1 more
+6 more sources
Finitely generated abelian groups of units [PDF]
Journal of the London Mathematical Society, 2019 28 ...
Ilaria Del Corso
openalex +6 more sources
Karpatsʹkì Matematičnì Publìkacìï, 2021 A group $G$ has a finite special rank $r$ if every finitely generated subgroup of $G$ is generated by at most $r$ elements and there is a finitely generated subgroup of $G$ which has exactly $r$ generators.
T.V. Velychko
doaj +1 more source
Diophantine problems in solvable groups [PDF]
Bulletin of Mathematical Sciences, 2020 We study the Diophantine problem (decidability of finite systems of equations) in different classes of finitely generated solvable groups (nilpotent, polycyclic, metabelian, free solvable, etc.), which satisfy some natural “non-commutativity” conditions.
Albert Garreta +2 more
doaj +1 more source
Finitely generic abelian lattice-ordered groups [PDF]
Transactions of the American Mathematical Society, 1983 The authors characterize the finitely generic abelian lattice-ordered groups and make application of this characterization to specific examples.
Saracino, Dan, Wood, Carol
openaire +1 more source