{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T03:11:27Z","timestamp":1767237087796},"reference-count":27,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2008,2]]},"abstract":"<jats:p> Several transfer results for rational subsets and finitely generated subgroups of HNN-extensions G = \u3008 H,t; t<jats:sup>-1<\/jats:sup> at = \u03c6(a) (a \u2208 A) \u3009 and amalgamated free products G = H *<jats:sub>A<\/jats:sub> J such that the associated subgroup A is finite. These transfer results allow to transfer decidability properties or structural properties from the subgroup H (resp. the subgroups H and J) to the group G. <\/jats:p>","DOI":"10.1142\/s021819670800438x","type":"journal-article","created":{"date-parts":[[2008,2,22]],"date-time":"2008-02-22T10:57:59Z","timestamp":1203677879000},"page":"111-163","source":"Crossref","is-referenced-by-count":7,"title":["RATIONAL SUBSETS IN HNN-EXTENSIONS AND AMALGAMATED PRODUCTS"],"prefix":"10.1142","volume":"18","author":[{"given":"MARKUS","family":"LOHREY","sequence":"first","affiliation":[{"name":"Institut f\u00fc Informatik, Universit\u00e4t Leipzig, Johannisgasse 26, 04103 Leipzig, Germany"}]},{"given":"G\u00c9RAUD","family":"S\u00c9NIZERGUES","sequence":"additional","affiliation":[{"name":"LaBRI, Bordeaux l University, 351 Cours de la Lib\u00e9ration, 33405 Talence Cedex, France"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02088289"},{"key":"rf3","first-page":"695","volume":"11","author":"Anissimow A. W.","journal-title":"Elektron. Informationsverarbeit. Kybernetik"},{"key":"rf4","first-page":"1188","volume":"269","author":"Benois M.","journal-title":"C. R. Acad. Sci. Paris, S\u00e9r. A"},{"key":"rf5","first-page":"199","volume":"4","author":"Bezverkhni\u012d V. N.","journal-title":"Fundam. Prikl. Mat."},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/0304-3975(82)90036-6"},{"key":"rf7","unstructured":"N.\u00a0Dershowitz and J. P.\u00a0Jouannaud, Handbook of Theoretical Computer Science\u00a0B (Elsevier, 1991)\u00a0pp. 423\u2013320."},{"key":"rf8","volume-title":"Groups Acting on Graphs","author":"Dicks W.","year":"1990"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1996.6847"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1949-0032642-4"},{"key":"rf13","first-page":"247","volume":"24","author":"Higman G.","journal-title":"J. London Math. Soc."},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1093\/qmath\/14.1.254"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2006.05.020"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1142\/S021819670500213X"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1970-0260879-9"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-1971-070-x"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61896-3"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196707003846"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-03-07287-3"},{"key":"rf25","first-page":"17","volume":"2000","author":"Nedbaj M. Yu.","journal-title":"Vestn. Omsk. Univ."},{"key":"rf26","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1051\/ita\/1985190302811","volume":"19","author":"Reutenauer Ch.","journal-title":"RAIRO Inform. Th\u00e9oret."},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1016\/0304-3975(87)90080-6"},{"key":"rf29","first-page":"555","volume":"17","author":"Scott P.","journal-title":"J. Lond. Math. Soc. (2)"},{"key":"rf30","doi-asserted-by":"crossref","unstructured":"G.\u00a0S\u00e9nizergues, Term Rewriting, Font-Romeu 93, Advanced Course, Lecture Notes in Computer Science\u00a0909 (Springer, 1994)\u00a0pp. 75\u201394.","DOI":"10.1007\/3-540-59340-3_7"},{"key":"rf31","doi-asserted-by":"publisher","DOI":"10.1007\/s002360050045"},{"key":"rf33","series-title":"Yale Mathematical Monographs","volume-title":"Group Theory and Three-Dimensional Manifolds","volume":"4","author":"Stallings J. R.","year":"1971"},{"key":"rf34","doi-asserted-by":"publisher","DOI":"10.1007\/BF02095993"},{"key":"rf35","first-page":"107","volume":"51","author":"Wise D. T.","journal-title":"Q. J. Math."}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021819670800438X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T22:28:41Z","timestamp":1565130521000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021819670800438X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,2]]},"references-count":27,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2008,2]]}},"alternative-id":["10.1142\/S021819670800438X"],"URL":"https:\/\/doi.org\/10.1142\/s021819670800438x","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,2]]}}}