{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T08:49:48Z","timestamp":1776847788900,"version":"3.51.2"},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2016,3]]},"abstract":"<jats:p> Let [Formula: see text] be the moduli space of smooth, genus [Formula: see text] curves over an algebraically closed field [Formula: see text] of zero characteristic. Denote by [Formula: see text] the subset of [Formula: see text] of curves [Formula: see text] such that [Formula: see text] (as a finite nontrivial group) is isomorphic to a subgroup of [Formula: see text] and let [Formula: see text] be the subset of curves [Formula: see text] such that [Formula: see text], where [Formula: see text] is the full automorphism group of [Formula: see text]. Now, for an integer [Formula: see text], let [Formula: see text] be the subset of [Formula: see text] representing smooth, genus [Formula: see text] curves that admit a non-singular plane model of degree [Formula: see text] (in this case, [Formula: see text]) and consider the sets [Formula: see text] and [Formula: see text]. <\/jats:p><jats:p> In this paper we first determine, for an arbitrary but a fixed degree [Formula: see text], an algorithm to list the possible values [Formula: see text] for which [Formula: see text] is non-empty, where [Formula: see text] denotes the cyclic group of order [Formula: see text]. In particular, we prove that [Formula: see text] should divide one of the integers: [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] or [Formula: see text]. Secondly, consider a curve [Formula: see text] with [Formula: see text] such that [Formula: see text] has an element of \u201cvery large\u201d order, in the sense that this element is of order [Formula: see text], [Formula: see text], [Formula: see text] or [Formula: see text]. Then we investigate the groups [Formula: see text] for which [Formula: see text] and also we determine the locus [Formula: see text] in these situations. Moreover, we work with the same question when [Formula: see text] has an element of \u201clarge\u201d order: [Formula: see text], [Formula: see text] or [Formula: see text] with [Formula: see text] an integer. <\/jats:p>","DOI":"10.1142\/s0218196716500168","type":"journal-article","created":{"date-parts":[[2016,2,22]],"date-time":"2016-02-22T03:04:18Z","timestamp":1456110258000},"page":"399-433","source":"Crossref","is-referenced-by-count":17,"title":["Non-singular plane curves with an element of \u201clarge\u201d order in its automorphism group"],"prefix":"10.1142","volume":"26","author":[{"given":"Eslam","family":"Badr","sequence":"first","affiliation":[{"name":"Departament de Matem\u00e0tiques, Edif. C, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra, Catalonia"},{"name":"Department of Mathematics, Faculty of Science, Cairo University, 12613 Giza, Egypt"}]},{"given":"Francesc","family":"Bars","sequence":"additional","affiliation":[{"name":"Departament de Matem\u00e0tiques, Edif. C, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra, Catalonia"}]}],"member":"219","published-online":{"date-parts":[[2016,3,16]]},"reference":[{"issue":"2","key":"S0218196716500168BIB003","first-page":"83","volume":"2","author":"Bars F.","year":"2012","journal-title":"Surveys Math. Math. Sci."},{"key":"S0218196716500168BIB004","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139084437"},{"key":"S0218196716500168BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-9930-8"},{"key":"S0218196716500168BIB009","doi-asserted-by":"publisher","DOI":"10.1515\/9781400847419"},{"key":"S0218196716500168BIB010","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0066649"},{"key":"S0218196716500168BIB011","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1911-1500887-3"},{"key":"S0218196716500168BIB013","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511758874.008"},{"key":"S0218196716500168BIB014","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.2000.8675"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196716500168","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T22:27:41Z","timestamp":1565130461000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196716500168"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,3]]},"references-count":8,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2016,3,16]]},"published-print":{"date-parts":[[2016,3]]}},"alternative-id":["10.1142\/S0218196716500168"],"URL":"https:\/\/doi.org\/10.1142\/s0218196716500168","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,3]]}}}