{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,30]],"date-time":"2025-12-30T03:54:47Z","timestamp":1767066887711,"version":"3.48.0"},"reference-count":13,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","funder":[{"name":"Spanish Government","award":["PID2020-117281GB-I00"],"award-info":[{"award-number":["PID2020-117281GB-I00"]}]},{"DOI":"10.13039\/501100008530","name":"European Regional Development Fund","doi-asserted-by":"crossref","award":["IT1483-22"],"award-info":[{"award-number":["IT1483-22"]}],"id":[{"id":"10.13039\/501100008530","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2026,2]]},"abstract":"<jats:p>In this paper, we provide an infinite family of sofic one-relator groups that are not residually finite nor residually solvable. The proof is essentially different from the one in [J.\u00a0P.\u00a0Bannon, A non-residually solvable hyperlinear one-relator group, Proc. Amer. Math. Soc.\u00a0139(4) (2011) 1409\u20131410] as it does not use Magnus\u2013Moldavanskii decompositions.<\/jats:p>","DOI":"10.1142\/s0218196725500444","type":"journal-article","created":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T02:32:09Z","timestamp":1760063529000},"page":"115-120","source":"Crossref","is-referenced-by-count":0,"title":["A new family of sofic one-relator groups"],"prefix":"10.1142","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9990-8120","authenticated-orcid":false,"given":"Federico","family":"Berlai","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of the Basque Country EHU, Barrio Sarriena s\/n 48940, Leioa, Spain"}]}],"member":"219","published-online":{"date-parts":[[2025,11,29]]},"reference":[{"key":"S0218196725500444BIB001","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-2010-10668-8"},{"key":"S0218196725500444BIB002","doi-asserted-by":"publisher","DOI":"10.2140\/involve.2010.3.345"},{"key":"S0218196725500444BIB003","doi-asserted-by":"publisher","DOI":"10.1017\/S1446788700007783"},{"key":"S0218196725500444BIB004","doi-asserted-by":"publisher","DOI":"10.4171\/ggd\/11"},{"key":"S0218196725500444BIB005","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-1980-032-8"},{"key":"S0218196725500444BIB006","series-title":"Springer Monographs in Mathematics","volume-title":"Cellular Automata and Groups","author":"Ceccherini-Silberstein T.","year":"2023","edition":"2"},{"key":"S0218196725500444BIB007","doi-asserted-by":"publisher","DOI":"10.1515\/JGT.2006.011"},{"key":"S0218196725500444BIB008","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-2011-11222-X"},{"key":"S0218196725500444BIB009","doi-asserted-by":"publisher","DOI":"10.1007\/BF02566625"},{"key":"S0218196725500444BIB010","unstructured":"M. Linton and C-F. Nyberg-Brodda, The theory of one-relator groups: history and recent progress, preprint (2025), https:\/\/arxiv.org\/abs\/2501.18306."},{"key":"S0218196725500444BIB011","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1972-0285589-5"},{"key":"S0218196725500444BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2011.06.013"},{"key":"S0218196725500444BIB013","doi-asserted-by":"publisher","DOI":"10.2178\/bsl\/1231081461"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196725500444","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,30]],"date-time":"2025-12-30T03:07:51Z","timestamp":1767064071000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218196725500444"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,11,29]]},"references-count":13,"journal-issue":{"issue":"01","published-print":{"date-parts":[[2026,2]]}},"alternative-id":["10.1142\/S0218196725500444"],"URL":"https:\/\/doi.org\/10.1142\/s0218196725500444","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"type":"print","value":"0218-1967"},{"type":"electronic","value":"1793-6500"}],"subject":[],"published":{"date-parts":[[2025,11,29]]}}}