{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T12:22:53Z","timestamp":1768479773666,"version":"3.49.0"},"reference-count":30,"publisher":"World Scientific Pub Co Pte Ltd","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2008,12]]},"abstract":"<jats:p>We describe a nilpotent quotient algorithm for a certain class of infinite presentations: the so-called finite L-presentations. We then exhibit finite L-presentations for various examples and report on the application of our nilpotent quotient algorithm to them. As a result, we obtain conjectural descriptions of the lower central series structure of various interesting groups including the Grigorchuk supergroup, the Brunner\u2013Sidki\u2013Vieira group, the Basilica group, certain generalizations of the Fabrykowski\u2013Gupta group, and certain generalizations of the Gupta\u2013Sidki group.<\/jats:p>","DOI":"10.1142\/s0218196708004871","type":"journal-article","created":{"date-parts":[[2008,12,29]],"date-time":"2008-12-29T09:49:04Z","timestamp":1230544144000},"page":"1321-1344","source":"Crossref","is-referenced-by-count":9,"title":["A NILPOTENT QUOTIENT ALGORITHM FOR CERTAIN INFINITELY PRESENTED GROUPS AND ITS APPLICATIONS"],"prefix":"10.1142","volume":"18","author":[{"given":"LAURENT","family":"BARTHOLDI","sequence":"first","affiliation":[{"name":"Georg-August Universit\u00e4t G\u00f6ttingen, Bunsenstra\u00dfe 3-5, 37073 G\u00f6ttingen, Germany"}]},{"given":"BETTINA","family":"EICK","sequence":"additional","affiliation":[{"name":"Institute of Computational Mathematics, University of Braunschweig, Pockelsstrasse 14, 38106 Braunschweig, Germany"}]},{"given":"REN\u00c9","family":"HARTUNG","sequence":"additional","affiliation":[{"name":"Institute of Computational Mathematics, University of Braunschweig, Pockelsstrasse 14, 38106 Braunschweig, Germany"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/S0021-8693(03)00268-0"},{"key":"rf2","first-page":"17","volume":"33","author":"Bartholdi L.","journal-title":"New Zealand J. Math."},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.2005.218.241"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511600609.002"},{"key":"rf6","first-page":"47","volume":"28","author":"Bartholdi L.","journal-title":"Serdica Math. J."},{"key":"rf7","doi-asserted-by":"crossref","first-page":"309","DOI":"10.4171\/ggd\/42","volume":"2","author":"Bartholdi L.","journal-title":"Groups Geom. Dyn."},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1215\/S0012-7094-05-13012-5"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100033934"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1017\/S0004972700046955"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1998.7579"},{"key":"rf12","first-page":"249","volume":"49","author":"Fabrykowski J.","journal-title":"J. Indian Math. Soc. (N.S.)"},{"key":"rf13","first-page":"217","volume":"56","author":"Fabrykowski J.","journal-title":"J. Indian Math. Soc. (N.S.)"},{"key":"rf15","first-page":"53","volume":"14","author":"Grigorchuk R. I.","journal-title":"Funktional. Anal. i Prilozhen."},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781107360228.021"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1380-2_4"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196702001000"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/298\/05114"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1007\/BF01179757"},{"key":"rf21","first-page":"584","volume":"22","author":"Gupta N.","journal-title":"Algebra i Logika"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1201\/9781420035216"},{"key":"rf25","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0094086","volume-title":"Linear Pro-p-groups of Finite Width","volume":"1674","author":"Klaas G.","year":"1997"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100036719"},{"key":"rf27","first-page":"503","volume":"38","author":"Lys\u00ebnok I. G.","journal-title":"Mat. Zametki"},{"key":"rf28","doi-asserted-by":"publisher","DOI":"10.1090\/surv\/117"},{"key":"rf29","doi-asserted-by":"crossref","unstructured":"W.\u00a0Nickel, Geometric and Computational Perspectives on Infinite Groups (Minneapolis, MN and New Brunswick, NJ, 1994), DIMACS Series in Discrete Mathematics and Theoretical Computer Science\u00a025 (American Mathematical Society, Providence, RI, 1996)\u00a0pp. 175\u2013191.","DOI":"10.1090\/dimacs\/025\/09"},{"key":"rf31","first-page":"1057","author":"Papadima S.","journal-title":"Int. Math. Res. Not. (21)"},{"key":"rf32","doi-asserted-by":"publisher","DOI":"10.4213\/mzm1821"},{"key":"rf33","first-page":"77","author":"Seksenbaev K. S.","journal-title":"Vestnik Akad. Nauk Kazakh. SSR (3)"},{"key":"rf34","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(87)90034-2"},{"key":"rf35","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511574702"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196708004871","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,8]],"date-time":"2024-03-08T00:14:40Z","timestamp":1709856880000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196708004871"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,12]]},"references-count":30,"journal-issue":{"issue":"08","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2008,12]]}},"alternative-id":["10.1142\/S0218196708004871"],"URL":"https:\/\/doi.org\/10.1142\/s0218196708004871","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,12]]}}}