{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T15:27:33Z","timestamp":1648999653072},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2012,9]]},"abstract":"<jats:p> We introduce a property of geodesic metric spaces, called the road trip property, that generalizes hyperbolic and convex metric spaces. This property is shown to be invariant under quasi-isometry. Thus, it leads to a geometric property of finitely generated groups, also called the road trip property. The main result is that groups with the road trip property are finitely presented and satisfy a quadratic isoperimetric inequality. Examples of groups with the road trip property include hyperbolic, semihyperbolic, automatic and CAT(0) groups. <\/jats:p>","DOI":"10.1142\/s0218196712500506","type":"journal-article","created":{"date-parts":[[2012,5,17]],"date-time":"2012-05-17T17:55:11Z","timestamp":1337277311000},"page":"1250050","source":"Crossref","is-referenced-by-count":0,"title":["ROAD TRIPS IN GEODESIC METRIC SPACES AND GROUPS WITH QUADRATIC ISOPERIMETRIC INEQUALITIES"],"prefix":"10.1142","volume":"22","author":[{"given":"RACHEL","family":"BISHOP-ROSS","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"JON M.","family":"CORSON","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,8,31]]},"reference":[{"key":"rf1","unstructured":"J.\u00a0Alonso, Group Theory from a Geometric Viewpoint (World Scientific, Singapore, 1991)\u00a0pp. 3\u201363."},{"key":"rf2","first-page":"56","volume":"70","author":"Alonso J. M.","journal-title":"Proc. London Math. Soc."},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1993-1102884-1"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196708004883"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/s00014-003-0776-7"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-12494-9"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1023\/B:GEOM.0000006500.20513.d2"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1201\/9781439865699"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-9730-4_9"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1142\/1235"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61896-3"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196712500506","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T14:29:21Z","timestamp":1565188161000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196712500506"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,8,31]]},"references-count":11,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2012,8,31]]},"published-print":{"date-parts":[[2012,9]]}},"alternative-id":["10.1142\/S0218196712500506"],"URL":"https:\/\/doi.org\/10.1142\/s0218196712500506","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,8,31]]}}}