{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,7]],"date-time":"2026-03-07T14:16:21Z","timestamp":1772892981230,"version":"3.50.1"},"reference-count":29,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12271023"],"award-info":[{"award-number":["12271023"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Combinatorial Theory, Series A"],"published-print":{"date-parts":[[2026,7]]},"DOI":"10.1016\/j.jcta.2025.106143","type":"journal-article","created":{"date-parts":[[2025,12,5]],"date-time":"2025-12-05T20:18:57Z","timestamp":1764965937000},"page":"106143","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Complete mappings stabilizing a subgroup and their parities"],"prefix":"10.1016","volume":"221","author":[{"given":"Shikang","family":"Yu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4022-0422","authenticated-orcid":false,"given":"Tao","family":"Feng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hengrui","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.jcta.2025.106143_br0010","series-title":"Sporadic Groups","author":"Aschbacher","year":"2000"},{"key":"10.1016\/j.jcta.2025.106143_br0020","series-title":"Graph Theory","author":"Bondy","year":"2008"},{"key":"10.1016\/j.jcta.2025.106143_br0030","doi-asserted-by":"crossref","first-page":"577","DOI":"10.1016\/j.jalgebra.2021.09.017","article-title":"Cycle types of complete mappings of finite fields","volume":"591","author":"Bors","year":"2022","journal-title":"J. Algebra"},{"key":"10.1016\/j.jcta.2025.106143_br0040","doi-asserted-by":"crossref","DOI":"10.1016\/j.ffa.2022.102088","article-title":"Coset-wise affine functions and cycle types of complete mappings","volume":"83","author":"Bors","year":"2022","journal-title":"Finite Fields Appl."},{"key":"10.1016\/j.jcta.2025.106143_br0050","doi-asserted-by":"crossref","DOI":"10.1016\/j.jcta.2022.105723","article-title":"Compositions and parities of complete mappings and of orthomorphisms","volume":"196","author":"Bors","year":"2023","journal-title":"J. Comb. Theory, Ser. A"},{"key":"10.1016\/j.jcta.2025.106143_br0060","doi-asserted-by":"crossref","first-page":"1757","DOI":"10.1073\/pnas.45.12.1757","article-title":"On finite groups of even order whose 2-Sylow group is a quaternion group","volume":"45","author":"Brauer","year":"1959","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"10.1016\/j.jcta.2025.106143_br0070","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1016\/j.jalgebra.2019.02.025","article-title":"The Hall\u2013Paige conjecture, and synchronization for affine and diagonal groups","volume":"545","author":"Bray","year":"2020","journal-title":"J. Algebra"},{"key":"10.1016\/j.jcta.2025.106143_br0080","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/S0012-365X(02)00464-8","article-title":"Constructions for optimal optical orthogonal codes","volume":"261","author":"Chang","year":"2003","journal-title":"Discrete Math."},{"key":"10.1016\/j.jcta.2025.106143_br0090","series-title":"CRC Handbook of Combinatorial Designs","first-page":"411","article-title":"Difference matrices","author":"Colbourn","year":"2007"},{"key":"10.1016\/j.jcta.2025.106143_br0100","series-title":"Atlas of Finite Groups","author":"Conway","year":"1985"},{"key":"10.1016\/j.jcta.2025.106143_br0110","doi-asserted-by":"crossref","DOI":"10.1016\/j.aim.2022.108423","article-title":"An asymptotic for the Hall\u2013Paige conjecture","volume":"404","author":"Eberhard","year":"2022","journal-title":"Adv. Math."},{"key":"10.1016\/j.jcta.2025.106143_br0120","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/j.jalgebra.2008.09.028","article-title":"The admissibility of sporadic simple groups","volume":"321","author":"Evans","year":"2009","journal-title":"J. Algebra"},{"key":"10.1016\/j.jcta.2025.106143_br0130","series-title":"Orthogonal Latin Squares Based on Groups, vol. 57","author":"Evans","year":"2018"},{"key":"10.1016\/j.jcta.2025.106143_br0140","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1007\/s10623-013-9859-7","article-title":"Semi-cyclic holey group divisible designs with block size three","volume":"74","author":"Feng","year":"2015","journal-title":"Des. Codes Cryptogr."},{"key":"10.1016\/j.jcta.2025.106143_br0150","doi-asserted-by":"crossref","first-page":"283","DOI":"10.2140\/pjm.1981.92.283","article-title":"Partitions of groups and complete mappings","volume":"92","author":"Friedlander","year":"1981","journal-title":"Pac. J. Math."},{"key":"10.1016\/j.jcta.2025.106143_br0160","series-title":"Finite Groups","author":"Gorenstein","year":"1968"},{"key":"10.1016\/j.jcta.2025.106143_br0170","doi-asserted-by":"crossref","first-page":"541","DOI":"10.2140\/pjm.1955.5.541","article-title":"Complete mappings of finite groups","volume":"5","author":"Hall","year":"1955","journal-title":"Pac. J. Math."},{"key":"10.1016\/j.jcta.2025.106143_br0180","series-title":"Finite Groups III","author":"Huppert","year":"1982"},{"key":"10.1016\/j.jcta.2025.106143_br0190","doi-asserted-by":"crossref","first-page":"356","DOI":"10.4153\/CJM-1961-031-7","article-title":"Orthomorphisms of groups and orthogonal Latin squares. I","volume":"13","author":"Johnson","year":"1961","journal-title":"Can. J. Math."},{"key":"10.1016\/j.jcta.2025.106143_br0200","first-page":"187","article-title":"On special near orthomorphisms","volume":"21","author":"Keedwell","year":"1996","journal-title":"J. Comb. Math. Comb. Comput."},{"key":"10.1016\/j.jcta.2025.106143_br0210","doi-asserted-by":"crossref","first-page":"418","DOI":"10.1214\/aoms\/1177731539","article-title":"The construction of orthogonal Latin squares","volume":"13","author":"Mann","year":"1942","journal-title":"Ann. Math. Stat."},{"key":"10.1016\/j.jcta.2025.106143_br0220","series-title":"Theory of Finite Simple Groups","author":"Michler","year":"2006"},{"key":"10.1016\/j.jcta.2025.106143_br0230","author":"M\u00fcyesser"},{"key":"10.1016\/j.jcta.2025.106143_br0240","doi-asserted-by":"crossref","first-page":"779","DOI":"10.1007\/s00222-025-01328-x","article-title":"A random Hall\u2013Paige conjecture","volume":"240","author":"M\u00fcyesser","year":"2025","journal-title":"Invent. Math."},{"key":"10.1016\/j.jcta.2025.106143_br0260","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1023\/A:1004924402272","article-title":"On the admissibility of some linear and projective groups in odd characteristic","volume":"66","author":"Volta","year":"1997","journal-title":"Geom. Dedic."},{"key":"10.1016\/j.jcta.2025.106143_br0270","doi-asserted-by":"crossref","first-page":"405","DOI":"10.2307\/1970648","article-title":"The characterization of finite groups with abelian Sylow 2-subgroups","volume":"89","author":"Walter","year":"1969","journal-title":"Ann. Math."},{"key":"10.1016\/j.jcta.2025.106143_br0280","doi-asserted-by":"crossref","first-page":"1407","DOI":"10.1016\/j.jalgebra.2008.11.033","article-title":"Reduction of the Hall-Paige conjecture to sporadic simple groups","volume":"321","author":"Wilcox","year":"2009","journal-title":"J. Algebra"},{"key":"10.1016\/j.jcta.2025.106143_br0290","article-title":"The Finite Simple Groups","volume":"vol. 251","author":"Wilson","year":"2009"},{"key":"10.1016\/j.jcta.2025.106143_br0300","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1007\/s10623-024-01540-5","article-title":"A pair of orthogonal orthomorphisms of finite nilpotent groups","volume":"93","author":"Yu","year":"2025","journal-title":"Des. Codes Cryptogr."}],"container-title":["Journal of Combinatorial Theory, Series A"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0097316525001384?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0097316525001384?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T17:36:21Z","timestamp":1772818581000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0097316525001384"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,7]]},"references-count":29,"alternative-id":["S0097316525001384"],"URL":"https:\/\/doi.org\/10.1016\/j.jcta.2025.106143","relation":{},"ISSN":["0097-3165"],"issn-type":[{"value":"0097-3165","type":"print"}],"subject":[],"published":{"date-parts":[[2026,7]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Complete mappings stabilizing a subgroup and their parities","name":"articletitle","label":"Article Title"},{"value":"Journal of Combinatorial Theory, Series A","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.jcta.2025.106143","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"106143"}}