{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T04:08:26Z","timestamp":1770955706080,"version":"3.50.1"},"reference-count":33,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","funder":[{"DOI":"10.13039\/501100001807","name":"FAPESP","doi-asserted-by":"crossref","award":["2018\/23690-6"],"award-info":[{"award-number":["2018\/23690-6"]}],"id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100003593","name":"CNPq","doi-asserted-by":"crossref","award":["307593\/2023-1"],"award-info":[{"award-number":["307593\/2023-1"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100003593","name":"CNPq","doi-asserted-by":"crossref","award":["406932\/2023-9"],"award-info":[{"award-number":["406932\/2023-9"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"crossref"}]},{"name":"IM SB RAS","award":["FWNF-2022-003"],"award-info":[{"award-number":["FWNF-2022-003"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2026,3]]},"abstract":"<jats:p>We classify Bol loops of order 27, using a combination of theoretical results and computer search. There are 15 Bol loops of order 27, including five groups. New constructions for the 10 nonassociative Bol loops of order 27 are given.<\/jats:p>","DOI":"10.1142\/s0218196726500049","type":"journal-article","created":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T10:13:30Z","timestamp":1761905610000},"page":"191-205","source":"Crossref","is-referenced-by-count":0,"title":["Bol loops of order 27"],"prefix":"10.1142","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7406-1944","authenticated-orcid":false,"given":"Alexander","family":"Grishkov","sequence":"first","affiliation":[{"name":"Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, Brazil"},{"name":"Sobolev Institute of Mathematics, Omsk, Russia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5227-8632","authenticated-orcid":false,"given":"Michael","family":"Kinyon","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Denver, 2390 S.\u00a0York St., Denver, CO 80208, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3085-6611","authenticated-orcid":false,"given":"Petr","family":"Vojt\u011bchovsk\u00fd","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Denver, 2390 S.\u00a0York St., Denver, CO 80208, USA"}]}],"member":"219","published-online":{"date-parts":[[2025,11,21]]},"reference":[{"issue":"1","key":"S0218196726500049BIB001","first-page":"117","volume":"51","author":"Baumeister B.","year":"2010","journal-title":"Beitr\u00e4ge Algebra Geom."},{"key":"S0218196726500049BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/s13366-020-00501-y"},{"key":"S0218196726500049BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/BF01594185"},{"key":"S0218196726500049BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-43119-1"},{"key":"S0218196726500049BIB005","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100055213"},{"key":"S0218196726500049BIB006","doi-asserted-by":"crossref","unstructured":"R. P. Burn, Finite Bol loops: III,\n                      Math. Proc. Cambridge Philos. Soc.\n                      97\n                      (2) (1985) 219\u2013223 [Corrigenda\n                      98\n                      (2) (1985) 381].","DOI":"10.1017\/S0305004100062770"},{"key":"S0218196726500049BIB007","doi-asserted-by":"publisher","DOI":"10.2307\/2369839"},{"key":"S0218196726500049BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2023.07.025"},{"key":"S0218196726500049BIB009","doi-asserted-by":"publisher","DOI":"10.1142\/S0219498810004129"},{"key":"S0218196726500049BIB010","doi-asserted-by":"publisher","DOI":"10.1216\/rmjm\/1181069494"},{"key":"S0218196726500049BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(68)90050-1"},{"key":"S0218196726500049BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(68)90051-3"},{"key":"S0218196726500049BIB013","doi-asserted-by":"publisher","DOI":"10.1007\/BF01443651"},{"key":"S0218196726500049BIB014","first-page":"498","volume":"22","author":"Keedwell A. D.","year":"1963","journal-title":"Rend. Mat. Appl. (5)"},{"key":"S0218196726500049BIB015","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1965-0179676-X"},{"key":"S0218196726500049BIB016","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2016.11.023"},{"key":"S0218196726500049BIB017","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-03-07211-3"},{"key":"S0218196726500049BIB018","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-07-04391-7"},{"key":"S0218196726500049BIB019","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196715500356"},{"key":"S0218196726500049BIB020","unstructured":"G. E. Moorhouse, Bol loops of small order, http:\/\/ericmoorhouse.org\/pub\/bol\/."},{"issue":"2","key":"S0218196726500049BIB021","first-page":"259","volume":"49","author":"Nagy G. P.","year":"2008","journal-title":"Comment. Math. Univ. 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