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We show that the subgroup of [Formula: see text] generated by the tame automorphisms and a countably infinite set of explicitly given automorphisms of [Formula: see text] is dense in [Formula: see text] with respect to the formal power series topology. <\/jats:p>","DOI":"10.1142\/s0218196724500097","type":"journal-article","created":{"date-parts":[[2024,2,14]],"date-time":"2024-02-14T02:47:40Z","timestamp":1707878860000},"page":"251-281","source":"Crossref","is-referenced-by-count":0,"title":["On automorphisms of certain free nilpotent-by-abelian Lie algebras"],"prefix":"10.1142","volume":"34","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4007-6144","authenticated-orcid":false,"given":"C.\u00a0E.","family":"Kofinas","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of the Aegean, Karlovassi, 832 00 Samos, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.\u00a0I.","family":"Papistas","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Aristotle, University of Thessaloniki, 541 24 Thessaloniki, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2024,4,3]]},"reference":[{"key":"S0218196724500097BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(83)90160-6"},{"key":"S0218196724500097BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/BF03322253"},{"volume-title":"Lie Groups and Lie Algebras Part I","year":"1987","author":"Bourbaki N.","key":"S0218196724500097BIB004"},{"key":"S0218196724500097BIB005","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-1993-063-5"},{"key":"S0218196724500097BIB006","doi-asserted-by":"publisher","DOI":"10.1080\/00927879308824804"},{"key":"S0218196724500097BIB007","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s2-29.3.435"},{"key":"S0218196724500097BIB008","doi-asserted-by":"publisher","DOI":"10.1080\/00927879008824096"},{"key":"S0218196724500097BIB009","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-14.4.618"},{"key":"S0218196724500097BIB011","doi-asserted-by":"publisher","DOI":"10.1080\/00927872.1990.12098262"},{"key":"S0218196724500097BIB012","doi-asserted-by":"publisher","DOI":"10.1007\/BF02567663"},{"key":"S0218196724500097BIB013","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0092296"},{"key":"S0218196724500097BIB014","doi-asserted-by":"publisher","DOI":"10.1515\/crll.1942.184.161"},{"key":"S0218196724500097BIB015","doi-asserted-by":"publisher","DOI":"10.1093\/qmath\/hav008"},{"key":"S0218196724500097BIB016","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196716500326"},{"volume-title":"Symmetric Functions and Hall Polynomials","year":"1979","author":"Macdonald I. 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