{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,2]],"date-time":"2026-03-02T07:47:30Z","timestamp":1772437650218,"version":"3.50.1"},"reference-count":17,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Math. Log."],"published-print":{"date-parts":[[2006,12]]},"abstract":"<jats:p> We prove that if p \u2260 q are distinct primes, then the classification problems for p-local and q-local torsion-free abelian groups of rank two are incomparable with respect to Borel reducibility. <\/jats:p>","DOI":"10.1142\/s021906130600058x","type":"journal-article","created":{"date-parts":[[2007,5,2]],"date-time":"2007-05-02T10:44:30Z","timestamp":1178102670000},"page":"233-251","source":"Crossref","is-referenced-by-count":6,"title":["THE CLASSIFICATION PROBLEM FOR p-LOCAL TORSION-FREE ABELIAN GROUPS OF RANK TWO"],"prefix":"10.1142","volume":"06","author":[{"given":"GREG","family":"HJORTH","sequence":"first","affiliation":[{"name":"Mathematics Department, UCLA, Los Angeles, CA 90095, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"SIMON","family":"THOMAS","sequence":"additional","affiliation":[{"name":"Mathematics Department, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-00-00341-6"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511758898"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-7591-2_22"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-0072(96)00006-1"},{"key":"rf5","series-title":"Memoirs of American Mathematical Society No. 833","volume-title":"Rigidity Theorems for Actions of Product Groups and Countable Borel Equivalence Relations","volume":"177","author":"Hjorth G.","year":"2005"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1142\/S0219061302000138"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.2307\/2374553"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1112\/S0024610700001411"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0346-0332-4"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-51445-6"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/BF02392844"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-02-00409-5"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-0072(02)00068-4"},{"key":"rf16","doi-asserted-by":"crossref","first-page":"555","DOI":"10.1215\/ijm\/1256049648","volume":"20","author":"Zimmer R. J.","journal-title":"Illinois J. Math"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-1982-15005-4"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.2307\/2006951"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-9488-4"}],"container-title":["Journal of Mathematical Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021906130600058X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:28:53Z","timestamp":1565137733000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021906130600058X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,12]]},"references-count":17,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2006,12]]}},"alternative-id":["10.1142\/S021906130600058X"],"URL":"https:\/\/doi.org\/10.1142\/s021906130600058x","relation":{},"ISSN":["0219-0613","1793-6691"],"issn-type":[{"value":"0219-0613","type":"print"},{"value":"1793-6691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,12]]}}}