{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,28]],"date-time":"2026-03-28T06:17:38Z","timestamp":1774678658119,"version":"3.50.1"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"2-3","license":[{"start":{"date-parts":[[2009,10,27]],"date-time":"2009-10-27T00:00:00Z","timestamp":1256601600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Des. Codes Cryptogr."],"published-print":{"date-parts":[[2010,5]]},"DOI":"10.1007\/s10623-009-9338-3","type":"journal-article","created":{"date-parts":[[2009,10,26]],"date-time":"2009-10-26T07:56:01Z","timestamp":1256543761000},"page":"235-242","source":"Crossref","is-referenced-by-count":6,"title":["Block-transitive designs in affine spaces"],"prefix":"10.1007","volume":"55","author":[{"given":"Michael","family":"Huber","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2009,10,27]]},"reference":[{"key":"9338_CR1","doi-asserted-by":"crossref","first-page":"547","DOI":"10.2140\/pjm.1971.39.547","volume":"39","author":"W.O. Alltop","year":"1971","unstructured":"Alltop W.O.: 5-designs in affine spaces. Pacific J. Math. 39, 547\u2013551 (1971)","journal-title":"Pacific J. Math."},{"key":"9338_CR2","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1016\/0021-8693(87)90173-6","volume":"109","author":"M. Aschbacher","year":"1987","unstructured":"Aschbacher M.: Chevalley groups of type G 2 as the group of a trilinear form. J. Algebra 109, 193\u2013259 (1987)","journal-title":"J. Algebra"},{"key":"9338_CR3","unstructured":"Beth Th., Jungnickel D., Lenz H.: Design Theory, vol. I and II, Encyclopedia of Mathematics and Its Applications 69\/78. Cambridge University Press, Cambridge (1999)."},{"key":"9338_CR4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0012-365X(00)00382-4","volume":"240","author":"J. Bierbrauer","year":"2001","unstructured":"Bierbrauer J.: An infinite family of 7-designs. Discrete Math. 240, 1\u201311 (2001)","journal-title":"Discrete Math."},{"key":"9338_CR5","doi-asserted-by":"crossref","first-page":"13","DOI":"10.2140\/pjm.1965.15.13","volume":"15","author":"R.E. Block","year":"1965","unstructured":"Block R.E.: Transitive groups of collineations on certain designs. Pacific J. Math. 15, 13\u201318 (1965)","journal-title":"Pacific J. Math."},{"key":"9338_CR6","doi-asserted-by":"crossref","unstructured":"Cameron P.J.: Parallelisms of complete designs. London Math. Soc. Lecture Note Series, vol. 23. Cambridge University Press, Cambridge (1976).","DOI":"10.1017\/CBO9780511662102"},{"key":"9338_CR7","doi-asserted-by":"crossref","first-page":"384","DOI":"10.1016\/0021-8693(79)90090-5","volume":"60","author":"P.J. Cameron","year":"1979","unstructured":"Cameron P.J., Kantor W.M.: 2-transitive and antiflag transitive collineation groups of finite projective and polar spaces. J. Algebra 60, 384\u2013422 (1979)","journal-title":"J. Algebra"},{"key":"9338_CR8","doi-asserted-by":"crossref","unstructured":"Cameron P.J., Praeger C.E.: Block-transitive t-designs, II: large t. In: De Clerck F. et\u00a0al. (eds.) Finite Geometry and Combinatorics (Deinze 1992). London Math. Soc. Lecture Note Series, vol. 191, pp. 103\u2013119. Cambridge University Press, Cambridge, (1993).","DOI":"10.1017\/CBO9780511526336.012"},{"key":"9338_CR9","volume-title":"Handbook of Combinatorial Designs","year":"2006","unstructured":"Colbourn, C.J., Dinitz, J.H. (eds): Handbook of Combinatorial Designs, 2nd edn. CRC Press, Boca Raton (2006)","edition":"2"},{"key":"9338_CR10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0002-9947-1976-0422440-8","volume":"218","author":"C.W. Curtis","year":"1976","unstructured":"Curtis C.W., Kantor W.M., Seitz G.M.: The 2-transitive permutation representations of the finite Chevalley groups. Trans. Am. Math. Soc. 218, 1\u201359 (1976)","journal-title":"Trans. Am. Math. Soc."},{"key":"9338_CR11","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1007\/BF00572446","volume":"29","author":"A. Delandtsheer","year":"1989","unstructured":"Delandtsheer A., Doyen J.: Most block-transitive t-designs are point-primitive. Geom. Dedicata 29, 307\u2013310 (1989)","journal-title":"Geom. Dedicata"},{"key":"9338_CR12","unstructured":"Gorenstein D.: Finite Simple Groups. An Introduction to Their Classification. Plenum Publishing Corp., New York, London (1982)."},{"key":"9338_CR13","volume-title":"Combinatorial Theory","author":"M. Hall Jr.","year":"1986","unstructured":"Hall M. Jr.: Combinatorial Theory, 2nd edn. Wiley, New York (1986)","edition":"2"},{"key":"9338_CR14","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1007\/BF00147570","volume":"2","author":"C. Hering","year":"1974","unstructured":"Hering C.: Transitive linear groups and linear groups which contain irreducible subgroups of prime order. Geom. Dedicata 2, 425\u2013460 (1974)","journal-title":"Geom. Dedicata"},{"key":"9338_CR15","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/0021-8693(85)90179-6","volume":"93","author":"C. Hering","year":"1985","unstructured":"Hering C.: Transitive linear groups and linear groups which contain irreducible subgroups of prime order, II. J. Algebra 93, 151\u2013164 (1985)","journal-title":"J. Algebra"},{"key":"9338_CR16","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1006\/jcta.2000.3141","volume":"94","author":"M. Huber","year":"2001","unstructured":"Huber M.: Classification of flag-transitive Steiner quadruple systems. J. Combin. Theory A 94, 180\u2013190 (2001)","journal-title":"J. Combin. Theory A"},{"key":"9338_CR17","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1515\/advg.2005.5.2.195","volume":"5","author":"M. Huber","year":"2005","unstructured":"Huber M.: The classification of flag-transitive Steiner 3-designs. Adv. Geom. 5, 195\u2013221 (2005)","journal-title":"Adv. Geom."},{"key":"9338_CR18","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1007\/s10801-007-0065-4","volume":"26","author":"M. Huber","year":"2007","unstructured":"Huber M.: A census of highly symmetric combinatorial designs. J. Algebr. Comb. 26, 453\u2013476 (2007)","journal-title":"J. Algebr. Comb."},{"key":"9338_CR19","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1007\/s10801-006-0053-0","volume":"26","author":"M. Huber","year":"2007","unstructured":"Huber M.: The classification of flag-transitive Steiner 4-designs. J. Algebr. Comb. 26, 183\u2013207 (2007)","journal-title":"J. Algebr. Comb."},{"key":"9338_CR20","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-0346-0002-6","volume-title":"Flag-transitive Steiner Designs","author":"M. Huber","year":"2009","unstructured":"Huber M.: Flag-transitive Steiner Designs. Birkh\u00e4user, Basel, Berlin, Boston (2009)"},{"key":"9338_CR21","doi-asserted-by":"crossref","first-page":"196","DOI":"10.1016\/j.jcta.2009.04.004","volume":"117","author":"M. Huber","year":"2010","unstructured":"Huber M.: On the Cameron\u2013Praeger conjecture. J. Combin. Theory A 117, 196\u2013203 (2010)","journal-title":"J. Combin. Theory A"},{"key":"9338_CR22","doi-asserted-by":"crossref","unstructured":"Huber M.: On the existence of block-transitive combinatorial designs, Preprint (2009).","DOI":"10.46298\/dmtcs.516"},{"key":"9338_CR23","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511566066","volume-title":"Design Theory","author":"D.R. Hughes","year":"1985","unstructured":"Hughes D.R., Piper F.C.: Design Theory. Cambridge University Press, Cambridge (1985)"},{"key":"9338_CR24","doi-asserted-by":"crossref","first-page":"126","DOI":"10.1007\/BF01160336","volume":"68","author":"B. Huppert","year":"1957","unstructured":"Huppert B.: Zweifach transitive, aufl\u00f6sbare Permutationsgruppen. Math. Z. 68, 126\u2013150 (1957)","journal-title":"Math. Z."},{"key":"9338_CR25","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-64981-3","volume-title":"Endliche Gruppen I","author":"B. Huppert","year":"1967","unstructured":"Huppert B.: Endliche Gruppen I. Springer, Berlin, Heidelberg, New York (1967)"},{"key":"9338_CR26","doi-asserted-by":"crossref","first-page":"246","DOI":"10.1007\/BF01111409","volume":"109","author":"W.M. Kantor","year":"1969","unstructured":"Kantor W.M.: Automorphisms of designs. Math. Z. 109, 246\u2013252 (1969)","journal-title":"Math. Z."},{"key":"9338_CR27","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1016\/0097-3165(85)90022-6","volume":"38","author":"W.M. Kantor","year":"1985","unstructured":"Kantor W.M.: Homogeneous designs and geometric lattices. J. Combin. Theory A 38, 66\u201374 (1985)","journal-title":"J. Combin. Theory A"},{"key":"9338_CR28","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1112\/plms\/s3-54.3.477","volume":"54","author":"M.W. Liebeck","year":"1987","unstructured":"Liebeck M.W.: The affine permutation groups of rank three. Proc. London Math. Soc. 54, 477\u2013516 (1987)","journal-title":"Proc. London Math. Soc."},{"key":"9338_CR29","first-page":"5","volume":"1","author":"E. Maillet","year":"1895","unstructured":"Maillet E.: Sur les isomorphes holo\u00e9driques et transitifs des groupes sym\u00e9triques ou altern\u00e9s. J. Math. Pures Appl. 1, 5\u201334 (1895)","journal-title":"J. Math. Pures Appl."},{"key":"9338_CR30","volume-title":"Combinatorial Designs: Constructions and Analysis","author":"D.R. Stinson","year":"2004","unstructured":"Stinson D.R.: Combinatorial Designs: Constructions and Analysis. Springer, Berlin, Heidelberg, New York (2004)"},{"key":"9338_CR31","first-page":"166","volume":"23","author":"J. Tits","year":"1964","unstructured":"Tits J.: Sur les syst\u00e8mes de Steiner associ\u00e9s aux trois \u201cgrands\u201d groupes de Mathieu. Rendic. Math. 23, 166\u2013184 (1964)","journal-title":"Rendic. Math."}],"container-title":["Designs, Codes and Cryptography"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-009-9338-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10623-009-9338-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-009-9338-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,27]],"date-time":"2023-05-27T08:39:41Z","timestamp":1685176781000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10623-009-9338-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,10,27]]},"references-count":31,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[2010,5]]}},"alternative-id":["9338"],"URL":"https:\/\/doi.org\/10.1007\/s10623-009-9338-3","relation":{},"ISSN":["0925-1022","1573-7586"],"issn-type":[{"value":"0925-1022","type":"print"},{"value":"1573-7586","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,10,27]]}}}