{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T11:00:01Z","timestamp":1758279601169},"reference-count":17,"publisher":"World Scientific Pub Co Pte Lt","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2017,11]]},"abstract":"<jats:p> We define the notion of computability of F\u00f8lner sets for finitely generated amenable groups. We prove, by an explicit description, that the Kharlampovich groups, finitely presented solvable groups with unsolvable Word Problem, have computable F\u00f8lner sets. We also prove computability of F\u00f8lner sets for extensions \u2014 with subrecursive distortion functions \u2014 of amenable groups with solvable Word Problem by finitely generated groups with computable F\u00f8lner sets. Moreover, we obtain some known and some new upper bounds for the F\u00f8lner function for these particular extensions. <\/jats:p>","DOI":"10.1142\/s0218196717500382","type":"journal-article","created":{"date-parts":[[2017,8,17]],"date-time":"2017-08-17T06:23:29Z","timestamp":1502951009000},"page":"819-830","source":"Crossref","is-referenced-by-count":6,"title":["Computability of F\u00f8lner sets"],"prefix":"10.1142","volume":"27","author":[{"given":"Matteo","family":"Cavaleri","sequence":"first","affiliation":[{"name":"Universit\u00e0 Niccol\u00f2 Cusano, Via Don Carlo Gnocchi 3, 00166 Roma, Italy"}]}],"member":"219","published-online":{"date-parts":[[2017,11,28]]},"reference":[{"key":"S0218196717500382BIB001","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-02-02985-9"},{"key":"S0218196717500382BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-14034-1"},{"key":"S0218196717500382BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-19794-4"},{"key":"S0218196717500382BIB006","doi-asserted-by":"publisher","DOI":"10.4171\/GGD\/312"},{"key":"S0218196717500382BIB007","doi-asserted-by":"publisher","DOI":"10.1215\/S0012-7094-06-13435-X"},{"key":"S0218196717500382BIB008","doi-asserted-by":"publisher","DOI":"10.1023\/A:1025849602376"},{"key":"S0218196717500382BIB009","doi-asserted-by":"publisher","DOI":"10.1007\/3-7643-7447-0_5"},{"key":"S0218196717500382BIB010","doi-asserted-by":"publisher","DOI":"10.4171\/GGD\/48"},{"key":"S0218196717500382BIB011","doi-asserted-by":"publisher","DOI":"10.4153\/CMB-2008-008-7"},{"issue":"4","key":"S0218196717500382BIB012","first-page":"852","volume":"45","author":"Kharlampovich O.","year":"1981","journal-title":"Izv. Akad. Nauk SSSR Ser. Mat."},{"key":"S0218196717500382BIB013","doi-asserted-by":"publisher","DOI":"10.1007\/s13373-017-0103-z"},{"key":"S0218196717500382BIB014","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61896-3"},{"key":"S0218196717500382BIB015","volume-title":"Algorithms and Recursive Functions","author":"Malcev A. I.","year":"1965"},{"key":"S0218196717500382BIB016","doi-asserted-by":"publisher","DOI":"10.4171\/GGD\/201"},{"key":"S0218196717500382BIB017","doi-asserted-by":"publisher","DOI":"10.1215\/00127094-2266251"},{"key":"S0218196717500382BIB018","doi-asserted-by":"publisher","DOI":"10.1007\/s00209-014-1395-2"},{"issue":"4","key":"S0218196717500382BIB019","first-page":"311","volume":"2","author":"Vershik A.","year":"1982","journal-title":"Selecta Math. Soviet."}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196717500382","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T05:09:13Z","timestamp":1565154553000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196717500382"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,11]]},"references-count":17,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2017,11,28]]},"published-print":{"date-parts":[[2017,11]]}},"alternative-id":["10.1142\/S0218196717500382"],"URL":"https:\/\/doi.org\/10.1142\/s0218196717500382","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,11]]}}}