{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:14Z","timestamp":1753893794017,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>A subset $A$ of a group $G$ is called symmetric with respect to the element $g\\in G$ if $A=gA^{-1}g$. It is proved that in any 2-coloring, every infinite group $G$ contains monochrome symmetric subsets of arbitrarily large cardinality $ &lt; |G|$.<\/jats:p>","DOI":"10.37236\/1721","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T02:28:40Z","timestamp":1578709720000},"source":"Crossref","is-referenced-by-count":3,"title":["Monochrome Symmetric Subsets in 2-Colorings of Groups"],"prefix":"10.37236","volume":"10","author":[{"given":"Yuliya","family":"Gryshko","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2003,8,3]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v10i1r28\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v10i1r28\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T05:07:20Z","timestamp":1579324040000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v10i1r28"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,8,3]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2003,1,6]]}},"URL":"https:\/\/doi.org\/10.37236\/1721","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2003,8,3]]},"article-number":"R28"}}