{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,4]],"date-time":"2026-06-04T02:05:30Z","timestamp":1780538730679,"version":"3.54.1"},"publisher-location":"Cham","reference-count":21,"publisher":"Springer Nature Switzerland","isbn-type":[{"value":"9783031645280","type":"print"},{"value":"9783031645297","type":"electronic"}],"license":[{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024]]},"DOI":"10.1007\/978-3-031-64529-7_10","type":"book-chapter","created":{"date-parts":[[2024,7,16]],"date-time":"2024-07-16T15:21:35Z","timestamp":1721143295000},"page":"89-96","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Computing the\u00a0Group of\u00a0an\u00a0Algebraic Variety over\u00a0a\u00a0Finite Field"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9383-3121","authenticated-orcid":false,"given":"Abdullah","family":"Alazemi","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0194-0777","authenticated-orcid":false,"given":"Anton","family":"Betten","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2024,7,17]]},"reference":[{"key":"10_CR1","first-page":"119","volume":"232","author":"A Al-ogaidi","year":"2019","unstructured":"Al-ogaidi, A., Betten, A.: Large arcs in small planes. Congr. Numer. 232, 119\u2013136 (2019)","journal-title":"Congr. Numer."},{"key":"10_CR2","unstructured":"Bamberg, J., Betten, A., Cara, P., De\u00a0Beule, J., Lavrauw, M., Neunh\u00f6ffer, M.: FinInG \u2013 Finite Incidence Geometry, Version 1.4.1 (2018)"},{"key":"10_CR3","doi-asserted-by":"crossref","unstructured":"Betten, A.: The orbiter ecosystem for combinatorial data. In: ISSAC\u201920\u2014Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation, pp. 30\u201337. ACM, New York (2020)","DOI":"10.1145\/3373207.3403984"},{"key":"10_CR4","unstructured":"Betten, A.: Orbiter \u2013 a program to classify discrete objects (2022). https:\/\/github.com\/abetten\/orbiter"},{"issue":"4","key":"10_CR5","doi-asserted-by":"publisher","first-page":"931","DOI":"10.1007\/s10623-018-0590-2","volume":"87","author":"A Betten","year":"2019","unstructured":"Betten, A., Karaoglu, F.: Cubic surfaces over small finite fields. Des. Codes Cryptogr. 87(4), 931\u2013953 (2019)","journal-title":"Des. Codes Cryptogr."},{"issue":"9","key":"10_CR6","doi-asserted-by":"publisher","first-page":"2159","DOI":"10.1007\/s10623-021-00999-w","volume":"90","author":"A Betten","year":"2022","unstructured":"Betten, A., Karaoglu, F.: The Eckardt point configuration of cubic surfaces revisited. Des. Codes Cryptogr. 90(9), 2159\u20132180 (2022)","journal-title":"Des. Codes Cryptogr."},{"key":"10_CR7","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1016\/S0167-5060(08)70899-9","volume":"52","author":"D Betten","year":"1992","unstructured":"Betten, D., Braun, M.: A tactical decomposition for incidence structures. Ann. Disc. Math. 52, 37\u201343 (1992)","journal-title":"Ann. Disc. Math."},{"key":"10_CR8","doi-asserted-by":"crossref","unstructured":"Bosma, W., Cannon, J., Playoust, C.: The Magma algebra system. I. The user language. J. Symb. Comput. 24(3-4), 235\u2013265 (1997)","DOI":"10.1006\/jsco.1996.0125"},{"key":"10_CR9","volume-title":"Atlas of Finite Groups","author":"JH Conway","year":"1985","unstructured":"Conway, J.H., Curtis, R.T., Norton, S.P., Parker, R.A., Wilson, R.A.: Atlas of Finite Groups. Oxford University Press, Eynsham (1985)"},{"issue":"8","key":"10_CR10","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1017\/S0013091500008683","volume":"2","author":"WL Edge","year":"1950","unstructured":"Edge, W.L.: A plane quartic with eight undulations. Proc. Edinburgh Math. Soc. 2(8), 147\u2013162 (1950)","journal-title":"Proc. Edinburgh Math. Soc."},{"key":"10_CR11","unstructured":"The GAP\u00a0Group. GAP \u2013 Groups, Algorithms, and Programming, Version 4.11.1 (2021). http:\/\/www.gap-system.org"},{"key":"10_CR12","unstructured":"Holt, D.F., Eick, B., O\u2019Brien, E.A.: Handbook of computational group theory. In: Discrete Mathematics and its Applications. Chapman & Hall\/CRC, Boca Raton (2005)"},{"key":"10_CR13","doi-asserted-by":"publisher","first-page":"481","DOI":"10.1016\/j.jalgebra.2018.11.009","volume":"521","author":"C Jefferson","year":"2019","unstructured":"Jefferson, C., Jonauskyte, E., Pfeiffer, M., Waldecker, R.: Minimal and canonical images. J. Algebra 521, 481\u2013506 (2019)","journal-title":"J. Algebra"},{"key":"10_CR14","unstructured":"Jefferson, C., Pfeiffer, M., Waldecker, R., Jonauskyte, E.: GAP package images (2019)"},{"key":"10_CR15","doi-asserted-by":"crossref","unstructured":"Leon, J.S.: Permutation group algorithms based on partitions. I. Theory and algorithms. J. Symb. Comput. 12(4\u20135), 533\u2013583 (1991)","DOI":"10.1016\/S0747-7171(08)80103-4"},{"key":"10_CR16","doi-asserted-by":"crossref","unstructured":"Leon, J.S.: Partitions, refinements, and permutation group computation. In: Groups and computation, II (New Brunswick, NJ, 1995), vol. 28 of DIMACS Series Discrete Mathematical Theoretical Computer Science, pp. 123\u2013158. American Mathematical Society, Providence (1997)","DOI":"10.1090\/dimacs\/028\/10"},{"key":"10_CR17","doi-asserted-by":"crossref","unstructured":"Linton, S.: Finding the smallest image of a set. In: ISSAC 2004, pp. 229\u2013234. ACM, New York (2004)","DOI":"10.1145\/1005285.1005319"},{"key":"10_CR18","unstructured":"McKay, B.: Nauty and Traces (Version 2.7r1), Australian National University (2020)"},{"issue":"2","key":"10_CR19","doi-asserted-by":"publisher","first-page":"306","DOI":"10.1006\/jagm.1997.0898","volume":"26","author":"BD McKay","year":"1998","unstructured":"McKay, B.D.: Isomorph-free exhaustive generation. J. Algor. 26(2), 306\u2013324 (1998)","journal-title":"J. Algor."},{"issue":"3","key":"10_CR20","doi-asserted-by":"publisher","first-page":"264","DOI":"10.2307\/2369797","volume":"18","author":"EH Moore","year":"1896","unstructured":"Moore, E.H.: Tactical Memoranda I\u2013III. Amer. J. Math. 18(3), 264\u2013290 (1896)","journal-title":"Amer. J. Math."},{"key":"10_CR21","doi-asserted-by":"crossref","unstructured":"Seress, \u00c1.: Permutation group algorithms. In: Cambridge Tracts in Mathematics, vol. 152. Cambridge University Press, Cambridge (2003)","DOI":"10.1017\/CBO9780511546549"}],"container-title":["Lecture Notes in Computer Science","Mathematical Software \u2013 ICMS 2024"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-64529-7_10","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,16]],"date-time":"2024-07-16T15:22:50Z","timestamp":1721143370000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-64529-7_10"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024]]},"ISBN":["9783031645280","9783031645297"],"references-count":21,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-64529-7_10","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024]]},"assertion":[{"value":"17 July 2024","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ICMS","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Congress on Mathematical Software","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Durham","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"United Kingdom","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2024","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"22 July 2024","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"25 July 2024","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"8","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"icms2024","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/maths.dur.ac.uk\/icms2024\/ICMS2024.html","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}