{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,15]],"date-time":"2025-12-15T04:25:21Z","timestamp":1765772721384},"reference-count":15,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2015,8]]},"abstract":"<jats:p> We compute estimates for the word metric of Baumslag\u2013Solitar groups in terms of the Britton's lemma normal form. As a corollary, we find lower bounds for the growth rate for the groups BS(p, q) with 1 &lt; p \u2264 q. <\/jats:p>","DOI":"10.1142\/s0218196715500198","type":"journal-article","created":{"date-parts":[[2015,5,10]],"date-time":"2015-05-10T21:23:36Z","timestamp":1431293016000},"page":"799-811","source":"Crossref","is-referenced-by-count":10,"title":["Metric properties of Baumslag\u2013Solitar groups"],"prefix":"10.1142","volume":"25","author":[{"given":"Jos\u00e9","family":"Burillo","sequence":"first","affiliation":[{"name":"Departament de Matem\u00e0tica Aplicada IV, EETAC-UPC, C\/Esteve Torrades 5, 08860 Castelldefels, Barcelona, Spain"}]},{"given":"Murray","family":"Elder","sequence":"additional","affiliation":[{"name":"School of Mathematical &amp; Physical Sciences, The University of Newcastle, Callaghan, New South Wales, Australia"}]}],"member":"219","published-online":{"date-parts":[[2015,8,13]]},"reference":[{"key":"rf1","first-page":"23","volume":"2","author":"Adams J.","year":"2010","journal-title":"ACOURAS"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1994-1169911-8"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/S0049-237X(08)72023-8"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/BF01200431"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196711006108"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1017\/S1446788700035035"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2005.03.026"},{"key":"rf8","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1215\/ijm\/1299679740","volume":"54","author":"Elder M.","year":"2010","journal-title":"Illinois J. Math."},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2014.04.021"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511721212.026"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1112\/S146115700900028X"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(95)00165-4"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.4171\/GGD\/221"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61896-3"},{"key":"rf16","series-title":"London Mathematical Society Lecture Note Series","volume-title":"How Groups Grow","author":"Mann A.","year":"2012"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196715500198","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T09:10:15Z","timestamp":1565082615000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196715500198"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,8]]},"references-count":15,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2015,8,13]]},"published-print":{"date-parts":[[2015,8]]}},"alternative-id":["10.1142\/S0218196715500198"],"URL":"https:\/\/doi.org\/10.1142\/s0218196715500198","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,8]]}}}