{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T07:53:49Z","timestamp":1780386829165,"version":"3.54.1"},"reference-count":5,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2016,8]]},"abstract":"<jats:p> In this paper and its sequel we continue our study of nilpotent symplectic alternating algebras. In particular we give a full classification of such algebras of dimension 10 over any field. It is known that symplectic alternating algebras over GF(3) correspond to a special rich class [Formula: see text] of 2-Engel 3-groups of exponent 27 and under this correspondence we will see that the nilpotent algebras correspond to a subclass of [Formula: see text] that are those groups in [Formula: see text] that have an extra group theoretical property that we refer to as being powerfully nilpotent and can be described also in the context of [Formula: see text]-groups where [Formula: see text] is an arbitrary prime. <\/jats:p>","DOI":"10.1142\/s0218196716500454","type":"journal-article","created":{"date-parts":[[2016,6,14]],"date-time":"2016-06-14T03:06:13Z","timestamp":1465873573000},"page":"1071-1094","source":"Crossref","is-referenced-by-count":2,"title":["Nilpotent symplectic alternating algebras II"],"prefix":"10.1142","volume":"26","author":[{"given":"Layla","family":"Sorkatti","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, University of Bath, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gunnar","family":"Traustason","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, University of Bath, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2016,8,14]]},"reference":[{"key":"S0218196716500454BIB001","doi-asserted-by":"publisher","DOI":"10.1080\/00927870802174835"},{"key":"S0218196716500454BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2014.10.031"},{"key":"S0218196716500454BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2012.02.012"},{"key":"S0218196716500454BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2007.08.028"},{"key":"S0218196716500454BIB005","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196708004585"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196716500454","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T01:10:20Z","timestamp":1565140220000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196716500454"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,8]]},"references-count":5,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2016,8,14]]},"published-print":{"date-parts":[[2016,8]]}},"alternative-id":["10.1142\/S0218196716500454"],"URL":"https:\/\/doi.org\/10.1142\/s0218196716500454","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,8]]}}}