{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T05:14:41Z","timestamp":1648617281976},"reference-count":4,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2008,2]]},"abstract":"<jats:p> A classical nilpotency result considers finite p-groups whose proper subgroups all have class bounded by a fixed number n. We consider the analogous property in nilpotent Lie algebras. In particular, we investigate whether this condition puts a bound on the class of the Lie algebra. Some p-group results and proofs carry over directly to the Lie algebra case, some carry over with modified proofs and some fail. For the final of these cases, a certain metabelian Lie algebra is constructed to show a case when the p-groups and Lie algebra cases differ. <\/jats:p>","DOI":"10.1142\/s0218196708004275","type":"journal-article","created":{"date-parts":[[2008,2,22]],"date-time":"2008-02-22T10:57:59Z","timestamp":1203677879000},"page":"83-95","source":"Crossref","is-referenced-by-count":2,"title":["ON THE RELATIONSHIP BETWEEN THE CLASS OF A LIE ALGEBRA AND THE CLASSES OF ITS SUBALGEBRAS"],"prefix":"10.1142","volume":"18","author":[{"given":"SUTHATHIP","family":"SUANMALI","sequence":"first","affiliation":[{"name":"Sirindhorn International Institute of Technology, Thammasat University, Thailand"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01193118"},{"key":"rf2","volume-title":"Lie Algebras","author":"Jacobson N.","year":"1962"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/BF01210977"},{"key":"rf4","doi-asserted-by":"crossref","first-page":"556","DOI":"10.1215\/ijm\/1256059454","volume":"8","author":"Macdonald I. D.","journal-title":"Illinois J. Math."}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196708004275","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T22:28:32Z","timestamp":1565130512000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196708004275"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,2]]},"references-count":4,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2008,2]]}},"alternative-id":["10.1142\/S0218196708004275"],"URL":"https:\/\/doi.org\/10.1142\/s0218196708004275","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,2]]}}}