{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,8]],"date-time":"2026-04-08T10:30:50Z","timestamp":1775644250311,"version":"3.50.1"},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[1992,9]]},"abstract":"<jats:p> A description is given for the set of solutions of a quadratic equation in a hyperbolic group. It consists of a finite set of parametric solutions of the equation which generates all solutions by the action of a group which may be interpreted as a special mapping class group of a compact surface. <\/jats:p>","DOI":"10.1142\/s0218196792000153","type":"journal-article","created":{"date-parts":[[2004,11,25]],"date-time":"2004-11-25T00:50:24Z","timestamp":1101343824000},"page":"237-274","source":"Crossref","is-referenced-by-count":12,"title":["A DESCRIPTION OF SOLUTIONS OF QUADRATIC EQUATIONS IN HYPERBOLIC GROUPS"],"prefix":"10.1142","volume":"02","author":[{"given":"R.I.","family":"GRIGORCHUK","sequence":"first","affiliation":[{"name":"Moscow Inst. of Railway Transport Engineers, Obraztsov Street 15, Moscow 101475, Russia"}]},{"given":"I.G.","family":"LYSIONOK","sequence":"additional","affiliation":[{"name":"Steklov Mathematical Institute, Vavilova Str. 42, Moscow 117966 17966 GSP-1, Russia"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196792000153","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T21:58:35Z","timestamp":1565128715000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196792000153"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,9]]},"references-count":0,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[1992,9]]}},"alternative-id":["10.1142\/S0218196792000153"],"URL":"https:\/\/doi.org\/10.1142\/s0218196792000153","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,9]]}}}