{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T09:29:15Z","timestamp":1777541355808,"version":"3.51.4"},"reference-count":21,"publisher":"World Scientific Pub Co Pte Ltd","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2000,12]]},"abstract":"<jats:p> Given an Artin system (A,S), a conjecture of Tits states that the subgroup A<jats:sup>(2)<\/jats:sup> of A generated by the squares of the generators in S is subject only to the obvious commutator relations between generators. In particular, A<jats:sup>(2)<\/jats:sup> is a right-angled Artin group. We prove this conjecture for a class of infinite type Artin groups, called locally reducible Artin groups, for which the associated Deligne complex has a CAT(0) geometry. We also prove that for any special subgroup A<jats:sub>T<\/jats:sub> of A, A<jats:sup>(2)<\/jats:sup>\u2229A<jats:sub>T<\/jats:sub>=(A<jats:sub>T<\/jats:sub>)<jats:sup>(2)<\/jats:sup>. <\/jats:p>","DOI":"10.1142\/s0218196700000479","type":"journal-article","created":{"date-parts":[[2003,4,22]],"date-time":"2003-04-22T11:48:21Z","timestamp":1051012101000},"page":"783-797","source":"Crossref","is-referenced-by-count":15,"title":["THE TITS CONJECTURE FOR LOCALLY REDUCIBLE ARTIN GROUPS"],"prefix":"10.1142","volume":"10","author":[{"given":"RUTH","family":"CHARNEY","sequence":"first","affiliation":[{"name":"Department of Mathematics, Ohio State University, 231 W. 18th Ave., Columbus, OH 43210, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,4,30]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1023\/A:1005216814166"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01389320"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1007\/s002220050168"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.2140\/gt.1999.3.269"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-4049(99)00094-8"},{"key":"p_7","first-page":"373","author":"Bridson M. R.","year":"1991","journal-title":"Singapore"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01406235"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1007\/BF01444642"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1007\/BF01446631"},{"key":"p_13","first-page":"597","volume":"8","author":"Charney R.","year":"1995","journal-title":"J. Amer. Math. Soc."},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.2307\/2375063"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1007\/BF01232254"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1007\/BF01406236"},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(91)90072-A"},{"key":"p_18","first-page":"48","volume":"1440","year":"1990","journal-title":"LNM"},{"key":"p_19","first-page":"75","author":"Gromov M.","year":"1987","journal-title":"New York"},{"key":"p_20","doi-asserted-by":"publisher","DOI":"10.1093\/qmath\/20.1.235"},{"key":"p_21","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1994.1312"},{"key":"p_24","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(66)90053-6"},{"key":"p_25","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(95)00094-1"},{"key":"p_26","doi-asserted-by":"publisher","DOI":"10.1007\/BF01389074"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196700000479","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T03:22:58Z","timestamp":1565148178000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196700000479"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,12]]},"references-count":21,"aliases":["10.1016\/s0218-1967(00)00047-9"],"journal-issue":{"issue":"06","published-online":{"date-parts":[[2012,4,30]]},"published-print":{"date-parts":[[2000,12]]}},"alternative-id":["10.1142\/S0218196700000479"],"URL":"https:\/\/doi.org\/10.1142\/s0218196700000479","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,12]]}}}