{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,3]],"date-time":"2026-06-03T22:33:06Z","timestamp":1780525986847,"version":"3.54.1"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","license":[{"start":{"date-parts":[[2022,10,4]],"date-time":"2022-10-04T00:00:00Z","timestamp":1664841600000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/arxiv.org\/licenses\/nonexclusive-distrib\/1.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>We give an algorithm that decides whether a single equation in a group that\nis virtually a class $2$ nilpotent group with a virtually cyclic commutator\nsubgroup, such as the Heisenberg group, admits a solution. This generalises the\nwork of Duchin, Liang and Shapiro to finite extensions.<\/jats:p>","DOI":"10.46298\/jgcc.2022.14.1.9776","type":"journal-article","created":{"date-parts":[[2022,10,5]],"date-time":"2022-10-05T07:41:43Z","timestamp":1664955703000},"source":"Crossref","is-referenced-by-count":1,"title":["Equations in virtually class 2 nilpotent groups"],"prefix":"10.46298","volume":"Volume 14, Issue 1","author":[{"given":"Alex","family":"Levine","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"25203","published-online":{"date-parts":[[2022,10,4]]},"container-title":["journal of Groups, complexity, cryptology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/gcc.episciences.org\/10053\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/gcc.episciences.org\/10053\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,20]],"date-time":"2023-06-20T10:12:49Z","timestamp":1687255969000},"score":1,"resource":{"primary":{"URL":"https:\/\/gcc.episciences.org\/9776"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,10,4]]},"references-count":0,"URL":"https:\/\/doi.org\/10.46298\/jgcc.2022.14.1.9776","relation":{"has-preprint":[{"id-type":"arxiv","id":"2009.10651v5","asserted-by":"subject"}],"is-same-as":[{"id-type":"arxiv","id":"2009.10651","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.2009.10651","asserted-by":"subject"}]},"ISSN":["1869-6104"],"issn-type":[{"value":"1869-6104","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,10,4]]},"article-number":"9776"}}