{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T09:01:57Z","timestamp":1773392517610,"version":"3.50.1"},"reference-count":0,"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":[[1997,12]]},"abstract":"<jats:p> We obtain a criterion for quasiconvexity of a subgroup of an amalgamated free product of two word hyperbolic groups along a virtually cyclic subgroup. The result provides a method of constructing new word hyperbolic group in class (Q), that is such that all their finitely generated subgroups are quasiconvex. It is known that free groups, hyperbolic surface groups and most 3-dimensional Kleinian groups have property (Q). We also give some applications of our results to one-relator groups and exponential groups. <\/jats:p>","DOI":"10.1142\/s0218196797000344","type":"journal-article","created":{"date-parts":[[2003,10,20]],"date-time":"2003-10-20T20:36:45Z","timestamp":1066682205000},"page":"771-811","source":"Crossref","is-referenced-by-count":9,"title":["Quasiconvexity and Amalgams"],"prefix":"10.1142","volume":"07","author":[{"given":"Ilya","family":"Kapovich","sequence":"first","affiliation":[{"name":"Department of Mathematics, Graduate School and University Center of the City University of New York, 33 West 42-nd Street, New York\u00a0NY10036, USA"}]}],"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\/S0218196797000344","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T17:54:43Z","timestamp":1565114083000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196797000344"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,12]]},"references-count":0,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[1997,12]]}},"alternative-id":["10.1142\/S0218196797000344"],"URL":"https:\/\/doi.org\/10.1142\/s0218196797000344","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,12]]}}}