{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T15:15:39Z","timestamp":1770909339592,"version":"3.50.1"},"reference-count":24,"publisher":"World Scientific Pub Co Pte Ltd","issue":"06","funder":[{"name":"Centre for Mathematics of the University of Coimbra","award":["UIDB\/00324\/2021"],"award-info":[{"award-number":["UIDB\/00324\/2021"]}]},{"DOI":"10.13039\/501100006753","name":"Centre for Mathematics of the University of Porto","doi-asserted-by":"crossref","award":["UIDB\/00144\/2020"],"award-info":[{"award-number":["UIDB\/00144\/2020"]}],"id":[{"id":"10.13039\/501100006753","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Portuguese Government","award":["PD\/BD\/150350\/2019"],"award-info":[{"award-number":["PD\/BD\/150350\/2019"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2022,9]]},"abstract":"<jats:p>Our main goal is to study the freeness of Sch\u00fctzenberger groups defined by primitive substitutions. Our findings include a simple freeness test for these groups, which is applied to exhibit a primitive invertible substitution with corresponding non-free Sch\u00fctzenberger group. This constitutes a counterexample to a result of Almeida dating back to 2005. We also give some early results concerning relative freeness of Sch\u00fctzenberger groups, a question which remains largely unexplored.<\/jats:p>","DOI":"10.1142\/s0218196722500473","type":"journal-article","created":{"date-parts":[[2022,4,28]],"date-time":"2022-04-28T09:55:17Z","timestamp":1651139717000},"page":"1101-1123","source":"Crossref","is-referenced-by-count":3,"title":["Freeness of Sch\u00fctzenberger groups of primitive substitutions"],"prefix":"10.1142","volume":"32","author":[{"given":"Herman","family":"Goulet-Ouellet","sequence":"first","affiliation":[{"name":"University of Coimbra, CMUC, Department of Mathematics, Apartado 3008, EC Santa Cruz, 3001-501 Coimbra, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2022,6,10]]},"reference":[{"key":"S0218196722500473BIB001","doi-asserted-by":"publisher","DOI":"10.1142\/9789812776884_0009"},{"key":"S0218196722500473BIB002","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-01-02857-4"},{"key":"S0218196722500473BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/1-4020-3817-8_1"},{"key":"S0218196722500473BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s11856-012-0139-4"},{"key":"S0218196722500473BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/s11512-016-0233-7"},{"key":"S0218196722500473BIB007","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-55215-2"},{"key":"S0218196722500473BIB008","doi-asserted-by":"publisher","DOI":"10.1007\/s00605-014-0721-4"},{"key":"S0218196722500473BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2014.09.028"},{"key":"S0218196722500473BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2014.12.010"},{"key":"S0218196722500473BIB011","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196706003232"},{"key":"S0218196722500473BIB012","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/pdq024"},{"key":"S0218196722500473BIB013","doi-asserted-by":"publisher","DOI":"10.5565\/PUBLMAT_47203_10"},{"key":"S0218196722500473BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(97)00029-0"},{"issue":"1","key":"S0218196722500473BIB015","first-page":"199","volume":"7","author":"Durand F.","year":"2012","journal-title":"Unif. Distrib. Theory"},{"key":"S0218196722500473BIB016","doi-asserted-by":"publisher","DOI":"10.1017\/S0143385799133947"},{"key":"S0218196722500473BIB017","doi-asserted-by":"publisher","DOI":"10.1007\/BF02572826"},{"key":"S0218196722500473BIB018","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.2001.9033"},{"key":"S0218196722500473BIB019","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.2001.8805"},{"key":"S0218196722500473BIB020","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196701000498"},{"key":"S0218196722500473BIB021","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s1-34.4.465"},{"key":"S0218196722500473BIB022","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-88599-0"},{"key":"S0218196722500473BIB023","doi-asserted-by":"publisher","DOI":"10.1142\/S021819679400004X"},{"key":"S0218196722500473BIB024","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-01642-4"},{"key":"S0218196722500473BIB025","doi-asserted-by":"crossref","first-page":"177","DOI":"10.4171\/pm\/1886","volume":"68","author":"Steinberg B.","year":"2010","journal-title":"Port. Math."}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196722500473","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,9,23]],"date-time":"2024-09-23T04:56:40Z","timestamp":1727067400000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218196722500473"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,6,10]]},"references-count":24,"journal-issue":{"issue":"06","published-print":{"date-parts":[[2022,9]]}},"alternative-id":["10.1142\/S0218196722500473"],"URL":"https:\/\/doi.org\/10.1142\/s0218196722500473","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,6,10]]}}}