{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T19:18:16Z","timestamp":1648927096183},"reference-count":10,"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":[[2018,9]]},"abstract":"<jats:p> The automorphism group of a partially commutative group [Formula: see text] is generated by four types of automorphism: graph automorphisms, inversions, transvections and vertex conjugating automorphisms. We find a characterisation of the subgroup [Formula: see text] generated by inversions and transvections, in terms of stabilisers of subgroups of [Formula: see text] generated by the so-called \u201cadmissible\u201d subsets of [Formula: see text]. This is used to give a decomposition of [Formula: see text] as a chain of semi-direct products of (mostly) tractable and recognisable subgroups; which in turn gives rise to a presentation of [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s0218196718500455","type":"journal-article","created":{"date-parts":[[2018,6,18]],"date-time":"2018-06-18T23:10:00Z","timestamp":1529363400000},"page":"1017-1047","source":"Crossref","is-referenced-by-count":1,"title":["Automorphisms of partially commutative groups III: Inversions and transvections"],"prefix":"10.1142","volume":"28","author":[{"given":"Andrew J.","family":"Duncan","sequence":"first","affiliation":[{"name":"School of Mathematics, Statistics and Physics, Newcastle University, Newcastle upon Tyne, NE1 7RU, United Kingdom"}]},{"given":"Vladimir N.","family":"Remeslennikov","sequence":"additional","affiliation":[{"name":"Sobolev Institute of Mathematics, Russian Academy of Sciences, 13 Pevtsova St., Omsk 644099, Russia"}]}],"member":"219","published-online":{"date-parts":[[2018,9,17]]},"reference":[{"key":"S0218196718500455BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/BF01895842"},{"key":"S0218196718500455BIB002","doi-asserted-by":"publisher","DOI":"10.2140\/gt.2017.21.1131"},{"key":"S0218196718500455BIB003","doi-asserted-by":"publisher","DOI":"10.2140\/gt.2009.13.817"},{"key":"S0218196718500455BIB004","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1987-0891135-1"},{"key":"S0218196718500455BIB005","doi-asserted-by":"publisher","DOI":"10.4171\/GGD\/103"},{"key":"S0218196718500455BIB006","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196712500749"},{"key":"S0218196718500455BIB007","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/52.2.318"},{"key":"S0218196718500455BIB008","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s2-8.2.259"},{"key":"S0218196718500455BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(89)90319-0"},{"key":"S0218196718500455BIB010","doi-asserted-by":"publisher","DOI":"10.1515\/jgt-2012-0015"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196718500455","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T15:37:49Z","timestamp":1565105869000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196718500455"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,9]]},"references-count":10,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2018,9,17]]},"published-print":{"date-parts":[[2018,9]]}},"alternative-id":["10.1142\/S0218196718500455"],"URL":"https:\/\/doi.org\/10.1142\/s0218196718500455","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,9]]}}}