{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,22]],"date-time":"2025-12-22T04:28:29Z","timestamp":1766377709360},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"01n02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2015,2]]},"abstract":"<jats:p> We show how a recent result of Hrushovsky [Stable group theory and approximate subgroups, J. Amer. Math. Soc.25(1) (2012) 189\u2013243] implies that if an asymptotic cone of a finitely generated group is locally compact, then the group is virtually nilpotent. <\/jats:p>","DOI":"10.1142\/s0218196715400020","type":"journal-article","created":{"date-parts":[[2015,1,9]],"date-time":"2015-01-09T08:33:15Z","timestamp":1420792395000},"page":"37-40","source":"Crossref","is-referenced-by-count":1,"title":["On groups with locally compact asymptotic cones"],"prefix":"10.1142","volume":"25","author":[{"given":"Mark","family":"Sapir","sequence":"first","affiliation":[{"name":"Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA"}]}],"member":"219","published-online":{"date-parts":[[2015,3,25]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196702000948"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/BF02698687"},{"key":"rf4","series-title":"London Mathematical Society Lecture Notes Series","volume-title":"Asymptotic Invariants of Infinite Groups","volume":"181","author":"Gromov M.","year":"1991"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-2011-00708-X"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1017\/S0143385700002054"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.2307\/1971484"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1995.1177"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/s13373-011-0008-1"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1112\/S0024609399006621"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(84)90223-0"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196715400020","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:26:32Z","timestamp":1565137592000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196715400020"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,2]]},"references-count":10,"journal-issue":{"issue":"01n02","published-online":{"date-parts":[[2015,3,25]]},"published-print":{"date-parts":[[2015,2]]}},"alternative-id":["10.1142\/S0218196715400020"],"URL":"https:\/\/doi.org\/10.1142\/s0218196715400020","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,2]]}}}