{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T12:30:57Z","timestamp":1648902657422},"reference-count":11,"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":[[2012,8]]},"abstract":"<jats:p> In the early 1990s Steve Gersten and Hamish Short proved that compact nonpositively curved triangle complexes have biautomatic fundamental groups and that compact nonpositively curved square complexes have biautomatic fundamental groups. In this paper we report on the extent to which results such as these extend to nonpositively curved complexes built out a mixture of triangles and squares. Since both results by Gersten and Short have been generalized to higher dimensions, this can be viewed as a first step towards unifying Januszkiewicz and \u015awi\u0227tkowski's theory of simplicial nonpositive curvature with the theory of nonpositively curved cube complexes. <\/jats:p>","DOI":"10.1142\/s0218196712500415","type":"journal-article","created":{"date-parts":[[2012,4,18]],"date-time":"2012-04-18T02:32:16Z","timestamp":1334716336000},"page":"1250041","source":"Crossref","is-referenced-by-count":1,"title":["TRIANGLES, SQUARES AND GEODESICS"],"prefix":"10.1142","volume":"22","author":[{"given":"RENA","family":"LEVITT","sequence":"first","affiliation":[{"name":"Department of Mathematics, Pomona College Claremont, CA 91711, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"JON","family":"MCCAMMOND","sequence":"additional","affiliation":[{"name":"Department of Mathematics, U. C. Santa Barbara, Santa Barbara, CA 93106, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,7,11]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1515\/9783110810820.1"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.2140\/agt.2010.10.2277"},{"key":"rf3","unstructured":"M. R.\u00a0Bridson, Group Theory From a Geometrical Viewpoint (Trieste, 1990) (World Scientific Publishing, River Edge, NJ, 1991)\u00a0pp. 373\u2013463."},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-12494-9"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1201\/9781439865699"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1007\/BF01233430"},{"key":"rf8","volume-title":"Algebraic Topology","author":"Hatcher A.","year":"2002"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/j.top.2004.10.001"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1112\/S0024611502013424"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/BF01241129"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1007\/s10711-005-9003-6"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196712500415","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T15:18:47Z","timestamp":1565104727000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196712500415"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,7,11]]},"references-count":11,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2012,7,11]]},"published-print":{"date-parts":[[2012,8]]}},"alternative-id":["10.1142\/S0218196712500415"],"URL":"https:\/\/doi.org\/10.1142\/s0218196712500415","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,7,11]]}}}