On a certain application of the theory of characters for commutative groups
type: Item
instance of: scholarly article
title: On a certain application of the theory of characters for commutative groups
zbMATH Open document ID: 1280.22009
author: Yanyan Li
published in: Journal of Mathematical Sciences (New York)
publication date: 2013-04-23T00:00:00Z
review text: The main result of the paper is based on Pontryagin's duality theory, and it characterizes certain locally compact abelian groups that are isomorphic to a local direct sum of groups of \(p\)-adic numbers. Moreover, some aspects are mentioned concerning the theory of characters of weakly linearly compact topological groups.
reviewed by: Brigitte E. Breckner
Mathematics Subject Classification ID: 22B05
Mathematics Subject Classification ID: 22D35
Mathematics Subject Classification ID: 43A40
zbMATH DE Number: 6156812
zbMATH Keywords: locally compact abelian groups
zbMATH Keywords: Pontryagin's duality theory
MaRDI profile type: Publication
full work available at URL: s10958-012-1038-2
OpenAlex ID: W2083957598
cites work: Q5609457
cites work: Q5723435
cites work: Algebraic characterization of abelian divisible groups which admit compact topologies
cites work: Q5840139
cites work: Q3890908
cites work: Q5833250
cites work: Structure of monogenic groups
cites work: Structure of self dual torsion free metric LCA groups
cites work: Q3663536
cites work: Q4169071
cites work: Q4172231
DOI: 10.1007/S10958-012-1038-2
Recommended article: Applications of character theory of finite simple groups
Recommended article: Q2724754
Recommended article: On the character space of commutative hypergroups
Recommended article: On the characters and commutators of finite algebra groups.
Recommended article: A Note on Characters of Algebraic Groups
Recommended article: Revisiting Character Theory of Finite Groups
Recommended article: On the character rings of finite groups
Recommended article: Q3840441
Recommended article: Q4952568
description: scientific article; zbMATH DE number 6156812