{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,8]],"date-time":"2025-10-08T16:44:42Z","timestamp":1759941882445,"version":"3.37.3"},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2018,9,26]],"date-time":"2018-09-26T00:00:00Z","timestamp":1537920000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100000883","name":"University of Bristol","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100000883","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Math.Comput.Sci."],"published-print":{"date-parts":[[2018,12]]},"DOI":"10.1007\/s11786-018-0382-0","type":"journal-article","created":{"date-parts":[[2018,9,25]],"date-time":"2018-09-25T23:26:41Z","timestamp":1537918001000},"page":"453-458","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Construction of the Outer Automorphism of \n                \n                  \n                \n                $${\\mathcal {S}}_{6}$$\n                \n                  \n                    \n                      S\n                      6\n                    \n                  \n                \n               via a Complex Hadamard Matrix"],"prefix":"10.1007","volume":"12","author":[{"given":"Neil I.","family":"Gillespie","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Padraig","family":"\u00d3 Cath\u00e1in","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cheryl E.","family":"Praeger","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,9,26]]},"reference":[{"issue":"5","key":"382_CR1","doi-asserted-by":"publisher","first-page":"2097","DOI":"10.1090\/S0002-9947-03-03040-X","volume":"355","author":"R Beals","year":"2003","unstructured":"Beals, R., Leedham-Green, C.R., Niemeyer, A.C., Praeger, C.E., Seress, \u00c1.: A black-box group algorithm for recognizing finite symmetric and alternating groups. I. Trans. Amer. Math. Soc. 355(5), 2097\u20132113 (2003)","journal-title":"I. Trans. Amer. Math. Soc."},{"key":"382_CR2","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511623714","volume-title":"Designs, Graphs, Codes and Their Links","author":"PJ Cameron","year":"1991","unstructured":"Cameron, P.J., van Lint, J.H.: Designs, Graphs, Codes and Their Links. Cambridge University Press, Cambridge (1991)"},{"key":"382_CR3","doi-asserted-by":"publisher","first-page":"266","DOI":"10.1112\/S1461157000001121","volume":"7","author":"CM Campbell","year":"2004","unstructured":"Campbell, C.M., Havas, G., Ramsay, C., Robertson, E.F.: Nice efficient presentations for all small simple groups and their covers. LMS J. Comput. Math. 7, 266\u2013283 (2004)","journal-title":"LMS J. Comput. Math."},{"issue":"2","key":"382_CR4","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1080\/10586458.2006.10128958","volume":"15","author":"JH Conway","year":"2006","unstructured":"Conway, J.H., Elkies, N.D., Martin, J.L.: The Mathieu group \n                    \n                      \n                    \n                    $$M_{12}$$\n                    \n                      \n                        \n                          M\n                          12\n                        \n                      \n                    \n                   and its pseudogroup extension \n                    \n                      \n                    \n                    $$M_{13}$$\n                    \n                      \n                        \n                          M\n                          13\n                        \n                      \n                    \n                  . Exp. Math. 15(2), 223\u2013236 (2006)","journal-title":"Exp. Math."},{"key":"382_CR5","series-title":"Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-6568-7","volume-title":"Sphere Packings, Lattices and Groups","author":"JH Conway","year":"1999","unstructured":"Conway, J.H., Sloane, N.J.A.: Sphere Packings, Lattices and Groups. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 290, 3rd edn. Springer, New York (1999)","edition":"3"},{"key":"382_CR6","series-title":"Mathematical Surveys and Monographs","doi-asserted-by":"crossref","DOI":"10.1090\/surv\/175","volume-title":"Algebraic Design Theory","author":"W Launey de","year":"2011","unstructured":"de Launey, W., Flannery, D.: Algebraic Design Theory. Mathematical Surveys and Monographs, vol. 175. American Mathematical Society, Providence (2011)"},{"issue":"4","key":"382_CR7","first-page":"377","volume":"100","author":"TA Fournelle","year":"1993","unstructured":"Fournelle, T.A.: Symmetries of the cube and outer automorphisms of \n                    \n                      \n                    \n                    $$S_6$$\n                    \n                      \n                        \n                          S\n                          6\n                        \n                      \n                    \n                  . Am. Math. Mon. 100(4), 377\u2013380 (1993)","journal-title":"Am. Math. Mon."},{"key":"382_CR8","doi-asserted-by":"publisher","first-page":"334","DOI":"10.1007\/BF01650080","volume":"13","author":"M Hall Jr","year":"1962","unstructured":"Hall Jr., M.: Note on the Mathieu group \n                    \n                      \n                    \n                    $$M_{12}$$\n                    \n                      \n                        \n                          M\n                          12\n                        \n                      \n                    \n                  . Arch. Math. (Basel) 13, 334\u2013340 (1962)","journal-title":"Arch. Math. (Basel)"},{"issue":"7","key":"382_CR9","doi-asserted-by":"publisher","first-page":"1296","DOI":"10.1016\/j.jcta.2008.01.004","volume":"115","author":"B Howard","year":"2008","unstructured":"Howard, B., Millson, J., Snowden, A., Vakil, R.: A description of the outer automorphism of \n                    \n                      \n                    \n                    $$S_6$$\n                    \n                      \n                        \n                          S\n                          6\n                        \n                      \n                    \n                  , and the invariants of six points in projective space. J. Combin. Theory Ser. A 115(7), 1296\u20131303 (2008)","journal-title":"J. Combin. Theory Ser. A"},{"issue":"6","key":"382_CR10","first-page":"407","volume":"89","author":"G Janusz","year":"1982","unstructured":"Janusz, G., Rotman, J.: Outer automorphisms of \n                    \n                      \n                    \n                    $$S_{6}$$\n                    \n                      \n                        \n                          S\n                          6\n                        \n                      \n                    \n                  . Am. Math. Mon. 89(6), 407\u2013410 (1982)","journal-title":"Am. Math. Mon."},{"key":"382_CR11","first-page":"252","volume":"65","author":"DW Miller","year":"1958","unstructured":"Miller, D.W.: On a theorem of H\u00f6lder. Am. Math. Mon. 65, 252\u2013254 (1958)","journal-title":"Am. Math. Mon."},{"key":"382_CR12","unstructured":"Moorhouse, G.E.: The 2-Transitive Complex Hadamard Matrices. Preprint. \n                    http:\/\/www.uwyo.edu\/moorhouse\/pub\/complex.pdf"},{"key":"382_CR13","first-page":"285","volume":"24","author":"JJ Sylvester","year":"1844","unstructured":"Sylvester, J.J.: Elementary researches in the analysis of combinatorial aggregation. Philos. Mag. 24, 285\u2013296 (1844)","journal-title":"Philos. Mag."},{"issue":"1","key":"382_CR14","first-page":"45","volume":"86","author":"J Ward","year":"1986","unstructured":"Ward, J.: Outer automorphisms of \n                    \n                      \n                    \n                    $$S_6$$\n                    \n                      \n                        \n                          S\n                          6\n                        \n                      \n                    \n                   and coset enumeration. Proc. Roy. Irish Acad. Sect. A 86(1), 45\u201350 (1986)","journal-title":"Proc. Roy. Irish Acad. Sect. A"},{"key":"382_CR15","doi-asserted-by":"crossref","unstructured":"Wiegold, J.: The Schur multiplier: an elementary approach. In: Groups\u2014St. Andrews 1981 (St. Andrews, 1981). London Mathematical Society Lecture Note Series, vol. 71, pp. 137\u2013154. Cambridge Univ. Press, Cambridge-New York (1982)","DOI":"10.1017\/CBO9780511661884.007"},{"key":"382_CR16","series-title":"Graduate Texts in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-84800-988-2","volume-title":"The Finite Simple Groups","author":"RA Wilson","year":"2009","unstructured":"Wilson, R.A.: The Finite Simple Groups. Graduate Texts in Mathematics, vol. 251. Springer, London (2009)"}],"container-title":["Mathematics in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11786-018-0382-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11786-018-0382-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11786-018-0382-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,25]],"date-time":"2019-09-25T19:24:55Z","timestamp":1569439495000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11786-018-0382-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,9,26]]},"references-count":16,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2018,12]]}},"alternative-id":["382"],"URL":"https:\/\/doi.org\/10.1007\/s11786-018-0382-0","relation":{},"ISSN":["1661-8270","1661-8289"],"issn-type":[{"type":"print","value":"1661-8270"},{"type":"electronic","value":"1661-8289"}],"subject":[],"published":{"date-parts":[[2018,9,26]]},"assertion":[{"value":"15 December 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 March 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 March 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 September 2018","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}