| 書目名稱 | Flag-transitive Steiner Designs | | 編輯 | Michael Huber | | 視頻video | http://file.papertrans.cn/345/344069/344069.mp4 | | 概述 | First full discussion of flag-transitive Steiner designs.At the interface of several disciplines, such as finite or incidence geometry, finite group theory, combinatorics, coding theory, and cryptogra | | 叢書名稱 | Frontiers in Mathematics | | 圖書封面 |  | | 描述 | The characterization of combinatorial or geometric structures in terms of their groups of automorphisms has attracted considerable interest in the last decades and is now commonly viewed as a natural generalization of Felix Klein’s Erlangen program(1872).Inaddition,especiallyfor?nitestructures,importantapplications to practical topics such as design theory, coding theory and cryptography have made the ?eld even more attractive. The subject matter of this research monograph is the study and class- cation of ?ag-transitive Steiner designs, that is, combinatorial t-(v,k,1) designs which admit a group of automorphisms acting transitively on incident point-block pairs. As a consequence of the classi?cation of the ?nite simple groups, it has been possible in recent years to characterize Steiner t-designs, mainly for t=2,adm- ting groups of automorphisms with su?ciently strong symmetry properties. For Steiner 2-designs, arguably the most general results have been the classi?cation of all point 2-transitive Steiner 2-designs in 1985 by W. M. Kantor, and the almost complete determination of all ?ag-transitive Steiner 2-designs announced in 1990 byF.Buekenhout,A.Delandtsheer,J.Doyen,P.B.Klei | | 出版日期 | Textbook 2009 | | 關(guān)鍵詞 | Combinatorics; Permutation; Steiner design; Steiner designs; design; discrete geometry | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0346-0002-6 | | isbn_softcover | 978-3-0346-0001-9 | | isbn_ebook | 978-3-0346-0002-6Series ISSN 1660-8046 Series E-ISSN 1660-8054 | | issn_series | 1660-8046 | | copyright | Birkh?user Basel 2009 |
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