{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T15:27:06Z","timestamp":1648567626726},"reference-count":15,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","funder":[{"name":"the Natural Science Research","award":["17KJD110007"],"award-info":[{"award-number":["17KJD110007"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2021,8]]},"abstract":"<jats:p> We build presentations for automata groups generated by Cayley machines of finite groups of nilpotency class two and prove that these automata groups are all cross-wired lamplighter groups. <\/jats:p>","DOI":"10.1142\/s0218196721500430","type":"journal-article","created":{"date-parts":[[2021,5,15]],"date-time":"2021-05-15T16:11:36Z","timestamp":1621095096000},"page":"915-927","source":"Crossref","is-referenced-by-count":0,"title":["Automata groups generated by Cayley machines of groups of nilpotency class two"],"prefix":"10.1142","volume":"31","author":[{"given":"Ning","family":"Yang","sequence":"first","affiliation":[{"name":"Department of Mathematics and Science, STEAM Institute, Nantong Normal College, 2 Yuxian Road, Nantong Jiangsu 226011, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,5,12]]},"reference":[{"key":"S0218196721500430BIB001","first-page":"989","volume-title":"Handbook of Algebra","volume":"3","author":"Bartholdi L.","year":"2003"},{"key":"S0218196721500430BIB002","first-page":"667","volume":"18","author":"de Cornulier Y.","year":"2012","journal-title":"New York J. Math."},{"key":"S0218196721500430BIB004","doi-asserted-by":"publisher","DOI":"10.4310\/PAMQ.2007.v3.n4.a3"},{"key":"S0218196721500430BIB005","doi-asserted-by":"publisher","DOI":"10.4007\/annals.2012.176.1.3"},{"key":"S0218196721500430BIB006","doi-asserted-by":"publisher","DOI":"10.4007\/annals.2013.177.3.2"},{"issue":"1","key":"S0218196721500430BIB007","first-page":"53","volume":"14","author":"Grigorchuk R. I.","year":"1980","journal-title":"Funkts. Anal. Prilozen."},{"key":"S0218196721500430BIB008","doi-asserted-by":"publisher","DOI":"10.1070\/IM1985v025n02ABEH001281"},{"key":"S0218196721500430BIB010","doi-asserted-by":"publisher","DOI":"10.1023\/A:1012061801279"},{"key":"S0218196721500430BIB011","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-7.1.29"},{"key":"S0218196721500430BIB012","doi-asserted-by":"publisher","DOI":"10.1007\/s10711-006-9086-8"},{"key":"S0218196721500430BIB013","first-page":"341","volume-title":"Proc. Symp. Math. Theory of Automata (New York, 1962)","author":"Krohn K. B.","year":"1963"},{"key":"S0218196721500430BIB015","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196791000171"},{"key":"S0218196721500430BIB016","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4176-8"},{"key":"S0218196721500430BIB017","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196705002761"},{"key":"S0218196721500430BIB018","first-page":"379","volume":"22","author":"Yang N.","year":"2016","journal-title":"New York J. Math."}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196721500430","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,8,4]],"date-time":"2021-08-04T06:37:04Z","timestamp":1628059024000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196721500430"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,5,12]]},"references-count":15,"journal-issue":{"issue":"05","published-print":{"date-parts":[[2021,8]]}},"alternative-id":["10.1142\/S0218196721500430"],"URL":"https:\/\/doi.org\/10.1142\/s0218196721500430","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,5,12]]}}}