{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T07:12:57Z","timestamp":1648537977435},"reference-count":6,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2017,9]]},"abstract":"<jats:p> In this paper, we study distortion of various well-known embeddings of finitely generated torsion-free nilpotent groups [Formula: see text] into unitriangular groups [Formula: see text]. In particular, we show that there is no undistorted embeddings of [Formula: see text]-dimensional Heisenberg group into [Formula: see text]. We also provide a polynomial time algorithm for finding distortion of a given subgroup of [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s021819671750031x","type":"journal-article","created":{"date-parts":[[2017,8,6]],"date-time":"2017-08-06T23:21:28Z","timestamp":1502061688000},"page":"633-653","source":"Crossref","is-referenced-by-count":0,"title":["Distortion of embeddings of a torsion-free finitely generated nilpotent group into a unitriangular group"],"prefix":"10.1142","volume":"27","author":[{"given":"Funda","family":"Gul","sequence":"first","affiliation":[{"name":"Stevens Institute of Technology, 1 Castle Point Terrace, Hoboken, NJ 07030, USA"}]},{"given":"Alexei G.","family":"Myasnikov","sequence":"additional","affiliation":[{"name":"Stevens Institute of Technology, 1 Castle Point Terrace, Hoboken, NJ 07030, USA"}]},{"given":"Mahmood","family":"Sohrabi","sequence":"additional","affiliation":[{"name":"Stevens Institute of Technology, 1 Castle Point Terrace, Hoboken, NJ 07030, USA"}]}],"member":"219","published-online":{"date-parts":[[2017,10,2]]},"reference":[{"key":"S021819671750031XBIB002","volume":"477","author":"Gul F.","year":"2016","journal-title":"J. Algebra"},{"key":"S021819671750031XBIB004","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-1955-022-5"},{"key":"S021819671750031XBIB005","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-9964-6"},{"key":"S021819671750031XBIB006","doi-asserted-by":"publisher","DOI":"10.1112\/S1461157000000127"},{"key":"S021819671750031XBIB009","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2006.03.002"},{"key":"S021819671750031XBIB010","doi-asserted-by":"publisher","DOI":"10.1081\/AGB-100107938"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021819671750031X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T20:16:07Z","timestamp":1565122567000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021819671750031X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,9]]},"references-count":6,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2017,10,2]]},"published-print":{"date-parts":[[2017,9]]}},"alternative-id":["10.1142\/S021819671750031X"],"URL":"https:\/\/doi.org\/10.1142\/s021819671750031x","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,9]]}}}