{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T21:14:41Z","timestamp":1774646081078,"version":"3.50.1"},"reference-count":16,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2008,9,12]],"date-time":"2008-09-12T00:00:00Z","timestamp":1221177600000},"content-version":"unspecified","delay-in-days":5490,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Combinator. Probab. Comp."],"published-print":{"date-parts":[[1993,9]]},"abstract":"<jats:p>The study of asymptotics of random permutations was initiated by Erd\u0151s and Tur\u00e1an, in a series of papers from 1965 to 1968, and has been much studied since. Recent developments in permutation group theory make it reasonable to ask questions with a more group-theoretic flavour. Two examples considered here are membership in a proper transitive subgroup, and the intersection of a subgroup with a random conjugate. These both arise from other topics (quasigroups, bases for permutation groups, and design constructions).<\/jats:p>","DOI":"10.1017\/s0963548300000651","type":"journal-article","created":{"date-parts":[[2008,9,12]],"date-time":"2008-09-12T07:18:58Z","timestamp":1221203938000},"page":"257-262","source":"Crossref","is-referenced-by-count":35,"title":["Random Permutations: Some Group-Theoretic Aspects"],"prefix":"10.1017","volume":"2","author":[{"given":"Peter J.","family":"Cameron","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"William M.","family":"Kantor","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2008,9,12]]},"reference":[{"key":"S0963548300000651_ref015","unstructured":"[15] Luczak T. and Pyber L. (to appear) Combinatorics, Probability and Computing."},{"key":"S0963548300000651_ref008","doi-asserted-by":"publisher","DOI":"10.1007\/BF02020968"},{"key":"S0963548300000651_ref011","first-page":"239","article-title":"Herstellung von Graphen mit vorgegebener abstrakter Gruppe","volume":"6","author":"Frucht","year":"1938","journal-title":"Compositio Math."},{"key":"S0963548300000651_ref006","doi-asserted-by":"publisher","DOI":"10.1007\/BF01895716"},{"key":"S0963548300000651_ref007","doi-asserted-by":"publisher","DOI":"10.1007\/BF00536750"},{"key":"S0963548300000651_ref002","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(92)90537-P"},{"key":"S0963548300000651_ref010","doi-asserted-by":"publisher","DOI":"10.1007\/BF01894517"},{"key":"S0963548300000651_ref014","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-63.2.266"},{"key":"S0963548300000651_ref016","volume-title":"Representation Theory of Infinite Groups and Finite Quasigroups","author":"Smith","year":"1986"},{"key":"S0963548300000651_ref013","author":"Kantor","journal-title":"J. Algebraic Combinatorics"},{"key":"S0963548300000651_ref001","doi-asserted-by":"publisher","DOI":"10.1112\/blms\/13.1.1"},{"key":"S0963548300000651_ref003","doi-asserted-by":"publisher","DOI":"10.1007\/BF01318900"},{"key":"S0963548300000651_ref004","doi-asserted-by":"publisher","DOI":"10.1007\/BF01110210"},{"key":"S0963548300000651_ref012","first-page":"77","volume-title":"Computers in Algebra.","author":"Kantor","year":"1988"},{"key":"S0963548300000651_ref005","article-title":"On the asymptotic distribution of large prime factors.","author":"Donnelly","journal-title":"J. London Math. Soc."},{"key":"S0963548300000651_ref009","doi-asserted-by":"publisher","DOI":"10.1007\/BF02280290"}],"container-title":["Combinatorics, Probability and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0963548300000651","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,15]],"date-time":"2019-05-15T17:57:44Z","timestamp":1557943064000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0963548300000651\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,9]]},"references-count":16,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1993,9]]}},"alternative-id":["S0963548300000651"],"URL":"https:\/\/doi.org\/10.1017\/s0963548300000651","relation":{},"ISSN":["0963-5483","1469-2163"],"issn-type":[{"value":"0963-5483","type":"print"},{"value":"1469-2163","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,9]]}}}