{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T08:42:42Z","timestamp":1648629762946},"reference-count":5,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2008,2]]},"abstract":"<jats:p> Answering a question of Dikranjan and Protasov we prove that each infinite group G contains a weakly P-small subset A \u2282 G which is not P-small. This means that for every n there are n pairwise disjoint translation copies of A in G but there is no infinitely many such disjoint copies. <\/jats:p>","DOI":"10.1142\/s0218196708004263","type":"journal-article","created":{"date-parts":[[2008,2,22]],"date-time":"2008-02-22T10:57:59Z","timestamp":1203677879000},"page":"1-6","source":"Crossref","is-referenced-by-count":7,"title":["WEAKLY P-SMALL NOT P-SMALL SUBSETS IN GROUPS"],"prefix":"10.1142","volume":"18","author":[{"given":"TARAS","family":"BANAKH","sequence":"first","affiliation":[{"name":"Instytut Matematyki, Akademia Swi\u0229tokrzyska, Kielce, Poland"},{"name":"Department of Mathematics, Lviv National University, Universytetska 1, Lviv, 79000, Ukraine"}]},{"given":"NADIA","family":"LYASKOVSKA","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Lviv National University, Universytetska 1, Lviv, 79000, Ukraine"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","first-page":"29","volume":"3","author":"Banakh T.","journal-title":"Algebra Discrete Math."},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-65780-1"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.4995\/agt.2006.1929"},{"key":"rf4","series-title":"de Gruyter Exposition in Mathematics","volume-title":"Theory and Applications","volume":"27","author":"Hidman N.","year":"1998"},{"key":"rf5","series-title":"Monograph Series","volume-title":"Combinatorics of Numbers","volume":"2","author":"Protasov I.","year":"1997"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196708004263","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T22:28:26Z","timestamp":1565130506000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196708004263"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,2]]},"references-count":5,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2008,2]]}},"alternative-id":["10.1142\/S0218196708004263"],"URL":"https:\/\/doi.org\/10.1142\/s0218196708004263","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,2]]}}}