{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,16]],"date-time":"2026-04-16T19:38:12Z","timestamp":1776368292280,"version":"3.51.2"},"reference-count":32,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2014,5]]},"abstract":"<jats:p>In this paper, we detail the geometrical approach of small cancellation theory used by Delzant and Gromov to provide a new proof of the infiniteness of free Burnside groups and periodic quotients of torsion-free hyperbolic groups.<\/jats:p>","DOI":"10.1142\/s0218196714500143","type":"journal-article","created":{"date-parts":[[2014,4,16]],"date-time":"2014-04-16T01:49:41Z","timestamp":1397612981000},"page":"251-345","source":"Crossref","is-referenced-by-count":27,"title":["On the geometry of burnside quotients of torsion free hyperbolic groups"],"prefix":"10.1142","volume":"24","author":[{"given":"R\u00e9mi","family":"Coulon","sequence":"first","affiliation":[{"name":"Department of Mathematics, Vanderbilt University, Stevenson Center 1326, Nashville, TN 37240, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2014,5,27]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-66932-3"},{"key":"rf3","series-title":"Topologie g\u00e9n\u00e9rale","volume-title":"\u00c9l\u00e9ments de math\u00e9matique","author":"Bourbaki N.","year":"1971"},{"key":"rf4","unstructured":"B. H.\u00a0Bowditch, Group Theory from a Geometrical Viewpoint (World Scientific Publisher, River Edge, NJ, 1991)\u00a0pp. 64\u2013167."},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-12494-9"},{"key":"rf6","first-page":"230","volume":"33","author":"Burnside W.","journal-title":"Quart. J. Math."},{"key":"rf7","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0084913","volume-title":"G\u00e9om\u00e9trie et Th\u00e9orie des Groupes","volume":"1441","author":"Coornaert M.","year":"1990"},{"key":"rf9","doi-asserted-by":"crossref","first-page":"729","DOI":"10.4171\/ggd\/146","volume":"5","author":"Coulon R.","journal-title":"Groups, Geom. Dynam."},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1215\/S0012-7094-96-08321-0"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1112\/jtopol\/jtn023"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1016\/j.top.2005.03.003"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-9167-8"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-9586-7_3"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/288\/04817"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1007\/s000390300002"},{"key":"rf20","first-page":"ii+308","volume":"4","author":"Ivanov S. V.","journal-title":"Int. J. Algebra Comput."},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-96-01510-3"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.5802\/aif.1661"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61896-3"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.4213\/im77"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196700000029"},{"key":"rf26","volume":"32","author":"Novikov P. S.","journal-title":"Izv. Akad. Nauk SSSR. Ser. Mat."},{"key":"rf27","doi-asserted-by":"crossref","first-page":"75","DOI":"10.36045\/bbms\/1148059334","volume":"13","author":"Ollivier Y.","journal-title":"Bull. Belg. Math. Soc. Simon Stevin"},{"key":"rf28","first-page":"287","volume":"118","author":"Ol'shanski\u012d A. Y.","journal-title":"Mat. Sb."},{"key":"rf29","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-3618-1"},{"key":"rf30","first-page":"543","volume":"182","author":"Ol'shanski\u012d A. Y.","journal-title":"Mat. Sb."},{"key":"rf31","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196792000025"},{"key":"rf32","doi-asserted-by":"publisher","DOI":"10.2140\/gt.2009.13.2051"},{"key":"rf33","doi-asserted-by":"crossref","unstructured":"P.\u00a0Papasoglu, Geometric and Computational Perspectives on Infinite Groups (American Mathematical Society, Providence, RI, 1996)\u00a0pp. 193\u2013200.","DOI":"10.1090\/dimacs\/025\/10"},{"key":"rf34","doi-asserted-by":"publisher","DOI":"10.1007\/BF02760660"},{"key":"rf35","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4176-8"},{"key":"rf36","first-page":"1","volume":"7","author":"Thue A.","journal-title":"Videnskapsselskapets Skrifter. I. Mat.-naturv. Klasse, Kristiania"},{"key":"rf37","first-page":"1","volume":"1","author":"Thue A.","journal-title":"Norske Vid. Selsk. Skr. I, Mat. Nat. Kl. Christiana"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196714500143","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,25]],"date-time":"2024-05-25T22:51:53Z","timestamp":1716677513000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196714500143"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,5]]},"references-count":32,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2014,5,27]]},"published-print":{"date-parts":[[2014,5]]}},"alternative-id":["10.1142\/S0218196714500143"],"URL":"https:\/\/doi.org\/10.1142\/s0218196714500143","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,5]]}}}