{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T07:05:19Z","timestamp":1648796719988},"reference-count":11,"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":[[2008,9]]},"abstract":"<jats:p> It is noteworthy to find whether a relative presentation with torsion-free coefficients is aspherical or not, since a nonaspherical relative presentation that defines a torsion-free group would provide a potential counterexample to the Kaplansky zero-divisor conjecture, see [7]. In this paper we investigate asphericity of the relative group presentation [Formula: see text] provided that m<jats:sub>1<\/jats:sub>, m<jats:sub>2<\/jats:sub>, \u2026, m<jats:sub>k<\/jats:sub> are nonzero integers, k \u2264 3, each coefficient has infinite order and the relator is not a proper power. <\/jats:p>","DOI":"10.1142\/s0218196708004718","type":"journal-article","created":{"date-parts":[[2008,9,25]],"date-time":"2008-09-25T09:05:05Z","timestamp":1222333505000},"page":"979-987","source":"Crossref","is-referenced-by-count":1,"title":["ON THE ASPHERICITY OF CERTAIN RELATIVE PRESENTATIONS OVER TORSION-FREE GROUPS"],"prefix":"10.1142","volume":"18","author":[{"given":"SEONG KUN","family":"KIM","sequence":"first","affiliation":[{"name":"Department of Mathematics, Pusan National University, Pusan, 609-735, South Korea"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","first-page":"227","volume":"7","author":"Baik Y. G.","journal-title":"Int. J. Algebra Comput."},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1017\/S0013091500005290"},{"key":"rf3","unstructured":"W. A.\u00a0Bogley and S. J.\u00a0Pride, Two-Dimensional Homotopy and Combinatorial Group Theory, LMS Lecture Note Series\u00a0197, eds. C.\u00a0Hog-Angeloni, W.\u00a0Metzler and A. J.\u00a0Sieradski (Cambridge University Press, 1993)\u00a0pp. 153\u2013202."},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1017\/S0017089500009617"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1017\/S0308210500028614"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1112\/S0024611500012752"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1998.7756"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1962-10868-4"},{"key":"rf10","first-page":"3","volume":"111","author":"Lyndon R.","journal-title":"Ann. Math. Stud."},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196703001432"},{"key":"rf12","first-page":"145","volume":"111","author":"Stallings J. R.","journal-title":"Ann. Math. Stud."}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196708004718","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T13:37:06Z","timestamp":1565185026000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196708004718"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,9]]},"references-count":11,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2008,9]]}},"alternative-id":["10.1142\/S0218196708004718"],"URL":"https:\/\/doi.org\/10.1142\/s0218196708004718","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,9]]}}}