A Ramsey statement for infinite groups
type: Item
instance of: scholarly article
title: A Ramsey statement for infinite groups
zbMATH Open document ID: 1413.03011
author: Péter Komjáth
published in: Combinatorica
publication date: 2018-09-24T00:00:00Z
review text: It is proved that for every finite \(n\) and every infinite cardinal \(\kappa\) there is an abelian group \(G\) such that for every coloring of \(G\) with \(\kappa\) colors there are \(n\) elements such that the same color class contains all subsums of them. Some generalizations of this result are presented, too.
reviewed by: Wiesław A. Dudek
Mathematics Subject Classification ID: 03E05
Mathematics Subject Classification ID: 05D10
Mathematics Subject Classification ID: 20K99
zbMATH DE Number: 6941945
zbMATH Keywords: Ramsey statement
zbMATH Keywords: infinite groups
MaRDI profile type: Publication
full work available at URL: s00493-016-3706-1
OpenAlex ID: W2791581750
cites work: Combinatorial set theory: Partition relations for cardinals
cites work: Strong failures of higher analogs of Hindman’s theorem
cites work: Pairwise sums in colourings of the reals
DOI: 10.1007/S00493-016-3706-1
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description: scientific article; zbMATH DE number 6941945